72506405772 has 60 divisors (see below), whose sum is σ = 189923324976. Its totient is φ = 24120698400.

The previous prime is 72506405771. The next prime is 72506405773. The reversal of 72506405772 is 27750460527.

72506405772 is a `hidden beast` number, since 72 + 5 + 0 + 6 + 4 + 0 + 577 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72506405771) and next prime (72506405773).

It is not an unprimeable number, because it can be changed into a prime (72506405771) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59479 + ... + 385422.

Almost surely, 2^72506405772 is an apocalyptic number.

It is an amenable number.

72506405772 is an abundant number, since it is smaller than the sum of its proper divisors (117416919204).

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

72506405772 is a wasteful number, since it uses less digits than its factorization.

72506405772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445420 (or 445409 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 72506405772 in words is "seventy-two billion, five hundred six million, four hundred five thousand, seven hundred seventy-two".