72257237310960 has 1600 divisors, whose sum is σ = 288718980802560. Its totient is φ = 16613308293120.

The previous prime is 72257237310943. The next prime is 72257237310961. The reversal of 72257237310960 is 6901373275227.

It is a happy number.

72257237310960 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 7 + 237 + 310 + 96 + 0 = 666.

It is a super-2 number, since 2×72257237310960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72257237310897 and 72257237310906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72257237310961) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14719336986 + ... + 14719341894.

Almost surely, 2^{72257237310960} 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 72257237310960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144359490401280).

72257237310960 is an abundant number, since it is smaller than the sum of its proper divisors (216461743491600).

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

72257237310960 is a wasteful number, since it uses less digits than its factorization.

72257237310960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 72257237310960 in words is "seventy-two trillion, two hundred fifty-seven billion, two hundred thirty-seven million, three hundred ten thousand, nine hundred sixty".