72377503765120 has 64 divisors (see below), whose sum is σ = 173158454148840. Its totient is φ = 28929085194240.

The previous prime is 72377503765117. The next prime is 72377503765153. The reversal of 72377503765120 is 2156730577327.

It can be written as a sum of positive squares in 4 ways, for example, as 68959471905856 + 3418031859264 = 8304184^2 + 1848792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×72377503765120² (a number of 29 digits) contains 22 as substring.

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, 41959197 + ... + 43650076.

Almost surely, 2^{72377503765120} is an apocalyptic number.

It is an amenable number.

72377503765120 is an abundant number, since it is smaller than the sum of its proper divisors (100780950383720).

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

72377503765120 is a wasteful number, since it uses less digits than its factorization.

72377503765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85610613 (or 85610601 counting only the distinct ones).

The product of its (nonzero) digits is 12965400, while the sum is 55.

The spelling of 72377503765120 in words is "seventy-two trillion, three hundred seventy-seven billion, five hundred three million, seven hundred sixty-five thousand, one hundred twenty".