85752504 has 48 divisors (see below), whose sum is σ = 232861200. Its totient is φ = 28508544.

The previous prime is 85752497. The next prime is 85752509. The reversal of 85752504 is 40525758.

It is a happy number.

85752504 is a `hidden beast` number, since 85 + 75 + 2 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85752509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30252 + ... + 32964.

It is an arithmetic number, because the mean of its divisors is an integer number (4851275).

Almost surely, 2^85752504 is an apocalyptic number.

It is an amenable number.

85752504 is an abundant number, since it is smaller than the sum of its proper divisors (147108696).

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

85752504 is a wasteful number, since it uses less digits than its factorization.

85752504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 85752504 is about 9260.2647910305. The cubic root of 85752504 is about 440.9766597239.

It can be divided in two parts, 857 and 52504, that added together give a square (53361 = 231²).

The spelling of 85752504 in words is "eighty-five million, seven hundred fifty-two thousand, five hundred four".