85724592 has 40 divisors (see below), whose sum is σ = 222081024. Its totient is φ = 28494144.

The previous prime is 85724543. The next prime is 85724627. The reversal of 85724592 is 29542758.

85724592 = 269² + 270² + ... + 651².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16053 + ... + 20715.

Almost surely, 2^85724592 is an apocalyptic number.

It is an amenable number.

85724592 is an abundant number, since it is smaller than the sum of its proper divisors (136356432).

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

85724592 is a wasteful number, since it uses less digits than its factorization.

85724592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5051 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 85724592 is about 9258.7575840390. The cubic root of 85724592 is about 440.9288093186.

The spelling of 85724592 in words is "eighty-five million, seven hundred twenty-four thousand, five hundred ninety-two".