72624512243700 has 216 divisors, whose sum is σ = 229494418083840. Its totient is φ = 19208642745600.

The previous prime is 72624512243671. The next prime is 72624512243737. The reversal of 72624512243700 is 734221542627.

72624512243700 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 4 + 51 + 224 + 370 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414935806 + ... + 415110794.

Almost surely, 2^{72624512243700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72624512243700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114747209041920).

72624512243700 is an abundant number, since it is smaller than the sum of its proper divisors (156869905840140).

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

72624512243700 is a wasteful number, since it uses less digits than its factorization.

72624512243700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178767 (or 178757 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 72624512243700 in words is "seventy-two trillion, six hundred twenty-four billion, five hundred twelve million, two hundred forty-three thousand, seven hundred".