72624511435460 has 24 divisors (see below), whose sum is σ = 152512715338200. Its totient is φ = 29049568131584.

The previous prime is 72624511435459. The next prime is 72624511435471. The reversal of 72624511435460 is 6453411542627.

It can be written as a sum of positive squares in 4 ways, for example, as 28889356513924 + 43735154921536 = 5374882^2 + 6613256^2 .

It is a super-2 number, since 2×72624511435460² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72624511435399 and 72624511435408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12248435 + ... + 17183514.

It is an arithmetic number, because the mean of its divisors is an integer number (6354696472425).

Almost surely, 2^{72624511435460} is an apocalyptic number.

It is an amenable number.

72624511435460 is an abundant number, since it is smaller than the sum of its proper divisors (79888203902740).

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

72624511435460 is a wasteful number, since it uses less digits than its factorization.

72624511435460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29555335 (or 29555333 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 50.

The spelling of 72624511435460 in words is "seventy-two trillion, six hundred twenty-four billion, five hundred eleven million, four hundred thirty-five thousand, four hundred sixty".