83577472 has 32 divisors (see below), whose sum is σ = 181641600. Its totient is φ = 37989120.

The previous prime is 83577463. The next prime is 83577499. The reversal of 83577472 is 27477538.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28272 + ... + 31087.

It is an arithmetic number, because the mean of its divisors is an integer number (5676300).

Almost surely, 2^83577472 is an apocalyptic number.

It is an amenable number.

83577472 is an abundant number, since it is smaller than the sum of its proper divisors (98064128).

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

83577472 is a wasteful number, since it uses less digits than its factorization.

83577472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59384 (or 59372 counting only the distinct ones).

The product of its digits is 329280, while the sum is 43.

The square root of 83577472 is about 9142.0715376768. The cubic root of 83577472 is about 437.2163660356.

The spelling of 83577472 in words is "eighty-three million, five hundred seventy-seven thousand, four hundred seventy-two".