85802472 has 48 divisors (see below), whose sum is σ = 265580640. Its totient is φ = 24514848.

The previous prime is 85802467. The next prime is 85802477. The reversal of 85802472 is 27420858.

It is a happy number.

85802472 is a `hidden beast` number, since 8 + 580 + 2 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (85802467) and next prime (85802477).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (85802477) 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, 84618 + ... + 85625.

It is an arithmetic number, because the mean of its divisors is an integer number (5532930).

Almost surely, 2^85802472 is an apocalyptic number.

It is an amenable number.

85802472 is an abundant number, since it is smaller than the sum of its proper divisors (179778168).

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

85802472 is a wasteful number, since it uses less digits than its factorization.

85802472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170262 (or 170255 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85802472 is about 9262.9623771232. The cubic root of 85802472 is about 441.0622954865.

The spelling of 85802472 in words is "eighty-five million, eight hundred two thousand, four hundred seventy-two".