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72423180 = 22335433119
BaseRepresentation
bin1000101000100…
…01011100001100
312001021110221000
410110101130030
5122020020210
611104140300
71536405204
oct424213414
9161243830
1072423180
1137976675
1220307690
131200976b
149893404
156558ac0
hex451170c

72423180 has 96 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 18857664.

The previous prime is 72423173. The next prime is 72423187. The reversal of 72423180 is 8132427.

It is an interprime number because it is at equal distance from previous prime (72423173) and next prime (72423187).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72423187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21661 + ... + 24779.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 272423180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72423180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

72423180 is an abundant number, since it is smaller than the sum of its proper divisors (158207220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72423180 is a wasteful number, since it uses less digits than its factorization.

72423180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72423180 is about 8510.1809616482. The cubic root of 72423180 is about 416.8302191708.

The spelling of 72423180 in words is "seventy-two million, four hundred twenty-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3119 3870 4644 5805 6238 7740 9357 11610 12476 15595 18714 23220 28071 31190 37428 46785 56142 62380 84213 93570 112284 134117 140355 168426 187140 268234 280710 336852 402351 421065 536468 561420 670585 804702 842130 1207053 1341170 1609404 1684260 2011755 2414106 2682340 3621159 4023510 4828212 6035265 7242318 8047020 12070530 14484636 18105795 24141060 36211590 72423180