85732992 has 80 divisors (see below), whose sum is σ = 255170850. Its totient is φ = 28574208.

The previous prime is 85732991. The next prime is 85732993. The reversal of 85732992 is 29923758.

It is an interprime number because it is at equal distance from previous prime (85732991) and next prime (85732993).

It can be written as a sum of positive squares in only one way, i.e., 54997056 + 30735936 = 7416^2 + 5544^2 .

It is not an unprimeable number, because it can be changed into a prime (85732991) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6234 + ... + 14502.

Almost surely, 2^85732992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127585425).

85732992 is an abundant number, since it is smaller than the sum of its proper divisors (169437858).

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

85732992 is an equidigital number, since it uses as much as digits as its factorization.

85732992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8274 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 85732992 is about 9259.2111975049. The cubic root of 85732992 is about 440.9432107909.

The spelling of 85732992 in words is "eighty-five million, seven hundred thirty-two thousand, nine hundred ninety-two".