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72156680 = 235193263
BaseRepresentation
bin1000100110100…
…00011000001000
312000202221100122
410103100120020
5121433003210
611054322412
71534215221
oct423203010
9160687318
1072156680
1137804422
12201b9408
1311c4537b
149824248
156504b55
hex44d0608

72156680 has 64 divisors (see below), whose sum is σ = 172022400. Its totient is φ = 27239616.

The previous prime is 72156659. The next prime is 72156713. The reversal of 72156680 is 8665127.

It is a self number, because there is not a number n which added to its sum of digits gives 72156680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274229 + ... + 274491.

It is an arithmetic number, because the mean of its divisors is an integer number (2687850).

Almost surely, 272156680 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 72156680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86011200).

72156680 is an abundant number, since it is smaller than the sum of its proper divisors (99865720).

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

72156680 is a wasteful number, since it uses less digits than its factorization.

72156680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 72156680 is about 8494.5088145225. The cubic root of 72156680 is about 416.3183122170.

The spelling of 72156680 in words is "seventy-two million, one hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 263 361 380 526 722 760 1052 1315 1444 1805 2104 2630 2888 3610 4997 5260 6859 7220 9994 10520 13718 14440 19988 24985 27436 34295 39976 49970 54872 68590 94943 99940 137180 189886 199880 274360 379772 474715 759544 949430 1803917 1898860 3607834 3797720 7215668 9019585 14431336 18039170 36078340 72156680