72916179890400 has 576 divisors, whose sum is σ = 328785691368960. Its totient is φ = 15151413657600.

The previous prime is 72916179890377. The next prime is 72916179890423. The reversal of 72916179890400 is 409897161927.

72916179890400 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 617 + 9 + 8 + 9 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72916179890377) and next prime (72916179890423).

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 95 ways as a sum of consecutive naturals, for example, 20257249 + ... + 23583648.

It is an arithmetic number, because the mean of its divisors is an integer number (570808491960).

Almost surely, 2^{72916179890400} is an apocalyptic number.

72916179890400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72916179890400 is an abundant number, since it is smaller than the sum of its proper divisors (255869511478560).

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

72916179890400 is a wasteful number, since it uses less digits than its factorization.

72916179890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43840944 (or 43840925 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 72916179890400 in words is "seventy-two trillion, nine hundred sixteen billion, one hundred seventy-nine million, eight hundred ninety thousand, four hundred".