72760510562152 has 128 divisors (see below), whose sum is σ = 162857307893760. Its totient is φ = 29797423603200.

The previous prime is 72760510562143. The next prime is 72760510562191. The reversal of 72760510562152 is 25126501506727.

It is a super-2 number, since 2×72760510562152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72760510562096 and 72760510562105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6547327348 + ... + 6547338460.

It is an arithmetic number, because the mean of its divisors is an integer number (1272322717920).

Almost surely, 2^{72760510562152} 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 72760510562152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81428653946880).

72760510562152 is an abundant number, since it is smaller than the sum of its proper divisors (90096797331608).

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

72760510562152 is a wasteful number, since it uses less digits than its factorization.

72760510562152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 49.

The spelling of 72760510562152 in words is "seventy-two trillion, seven hundred sixty billion, five hundred ten million, five hundred sixty-two thousand, one hundred fifty-two".