72627107474000 has 40 divisors (see below), whose sum is σ = 175612345876968. Its totient is φ = 29050842988800.

The previous prime is 72627107473981. The next prime is 72627107474023. The reversal of 72627107474000 is 47470172627.

It can be written as a sum of positive squares in 4 ways, for example, as 17144236096 + 72609963237904 = 130936^2 + 8521148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18156774869 + ... + 18156778868.

Almost surely, 2^{72627107474000} is an apocalyptic number.

It is an amenable number.

72627107474000 is an abundant number, since it is smaller than the sum of its proper divisors (102985238402968).

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

72627107474000 is a wasteful number, since it uses less digits than its factorization.

72627107474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36313553760 (or 36313553744 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 47.

The spelling of 72627107474000 in words is "seventy-two trillion, six hundred twenty-seven billion, one hundred seven million, four hundred seventy-four thousand".