72643625575200 has 216 divisors, whose sum is σ = 271227796005348. Its totient is φ = 18232125603840.

The previous prime is 72643625575123. The next prime is 72643625575223. The reversal of 72643625575200 is 257552634627.

72643625575200 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 3 + 62 + 5 + 57 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 58676274081936 + 13967351493264 = 7660044^2 + 3737292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296624437 + ... + 296869236.

Almost surely, 2^{72643625575200} is an apocalyptic number.

It is an amenable number.

72643625575200 is an abundant number, since it is smaller than the sum of its proper divisors (198584170430148).

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

72643625575200 is a wasteful number, since it uses less digits than its factorization.

72643625575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593493716 (or 593493700 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 72643625575200 in words is "seventy-two trillion, six hundred forty-three billion, six hundred twenty-five million, five hundred seventy-five thousand, two hundred".