72671845944600 has 192 divisors, whose sum is σ = 286073298470400. Its totient is φ = 16610707635840.

The previous prime is 72671845944521. The next prime is 72671845944667. The reversal of 72671845944600 is 644954817627.

72671845944600 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 1 + 84 + 5 + 94 + 460 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961230004 + ... + 961305603.

It is an arithmetic number, because the mean of its divisors is an integer number (1489965096200).

Almost surely, 2^{72671845944600} is an apocalyptic number.

72671845944600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72671845944600 is an abundant number, since it is smaller than the sum of its proper divisors (213401452525800).

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

72671845944600 is a wasteful number, since it uses less digits than its factorization.

72671845944600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922535639 (or 1922535624 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 72671845944600 in words is "seventy-two trillion, six hundred seventy-one billion, eight hundred forty-five million, nine hundred forty-four thousand, six hundred".