72874410295800 has 192 divisors, whose sum is σ = 239205643430400. Its totient is φ = 18289581004800.

The previous prime is 72874410295763. The next prime is 72874410295823. The reversal of 72874410295800 is 859201447827.

It is a Cunningham number, because it is equal to 8536651²-1.

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, 580429431 + ... + 580554969.

It is an arithmetic number, because the mean of its divisors is an integer number (1245862726200).

Almost surely, 2^{72874410295800} is an apocalyptic number.

It is an amenable number.

72874410295800 is an abundant number, since it is smaller than the sum of its proper divisors (166331233134600).

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

72874410295800 is a wasteful number, since it uses less digits than its factorization.

72874410295800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182486 (or 182477 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 72874410295800 in words is "seventy-two trillion, eight hundred seventy-four billion, four hundred ten million, two hundred ninety-five thousand, eight hundred".