72477672 has 32 divisors (see below), whose sum is σ = 186093600. Its totient is φ = 23505984.

The previous prime is 72477667. The next prime is 72477673. The reversal of 72477672 is 27677427.

It is not an unprimeable number, because it can be changed into a prime (72477673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39922 + ... + 41697.

It is an arithmetic number, because the mean of its divisors is an integer number (5815425).

Almost surely, 2^72477672 is an apocalyptic number.

It is an amenable number.

72477672 is an abundant number, since it is smaller than the sum of its proper divisors (113615928).

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

72477672 is a wasteful number, since it uses less digits than its factorization.

72477672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81665 (or 81661 counting only the distinct ones).

The product of its digits is 230496, while the sum is 42.

The square root of 72477672 is about 8513.3819366924. The cubic root of 72477672 is about 416.9347355146.

The spelling of 72477672 in words is "seventy-two million, four hundred seventy-seven thousand, six hundred seventy-two".