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72425988 = 2234239719
BaseRepresentation
bin1000101000100…
…10001000000100
312001021121210000
410110102020010
5122020112423
611104201300
71536416325
oct424221004
9161247700
1072425988
1137978798
1220309230
131200ab1b
14989444c
156559843
hex4512204

72425988 has 60 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 23089968.

The previous prime is 72425959. The next prime is 72425993. The reversal of 72425988 is 88952427.

It is a super-2 number, since 2×724259882 = 10491047475552288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2593 + ... + 12311.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 272425988 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 72425988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

72425988 is an abundant number, since it is smaller than the sum of its proper divisors (125162172).

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

72425988 is a wasteful number, since it uses less digits than its factorization.

72425988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9758 (or 9747 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 72425988 is about 8510.3459389146. The cubic root of 72425988 is about 416.8356062311.

The spelling of 72425988 in words is "seventy-two million, four hundred twenty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 9719 19438 29157 38876 58314 87471 116628 174942 223537 262413 349884 447074 524826 670611 787239 894148 1049652 1341222 1574478 2011833 2682444 3148956 4023666 6035499 8047332 12070998 18106497 24141996 36212994 72425988