85812972 has 48 divisors (see below), whose sum is σ = 236732160. Its totient is φ = 23671872.

The previous prime is 85812967. The next prime is 85812973. The reversal of 85812972 is 27921858.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85812973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15178 + ... + 20049.

It is an arithmetic number, because the mean of its divisors is an integer number (4931920).

Almost surely, 2^85812972 is an apocalyptic number.

It is an amenable number.

85812972 is an abundant number, since it is smaller than the sum of its proper divisors (150919188).

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

85812972 is a wasteful number, since it uses less digits than its factorization.

85812972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35270 (or 35268 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 85812972 is about 9263.5291331112. The cubic root of 85812972 is about 441.0802862860.

The spelling of 85812972 in words is "eighty-five million, eight hundred twelve thousand, nine hundred seventy-two".