72712760073300 has 144 divisors (see below), whose sum is σ = 235598674053120. Its totient is φ = 19237391550720.

The previous prime is 72712760073227. The next prime is 72712760073319. The reversal of 72712760073300 is 337006721727.

72712760073300 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 2 + 7 + 600 + 7 + 3 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105683289 + ... + 106369088.

Almost surely, 2^{72712760073300} is an apocalyptic number.

It is an amenable number.

72712760073300 is an abundant number, since it is smaller than the sum of its proper divisors (162885913979820).

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

72712760073300 is a wasteful number, since it uses less digits than its factorization.

72712760073300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212052527 (or 212052514 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The spelling of 72712760073300 in words is "seventy-two trillion, seven hundred twelve billion, seven hundred sixty million, seventy-three thousand, three hundred".