85692672 has 108 divisors (see below), whose sum is σ = 266171724. Its totient is φ = 26357760.

The previous prime is 85692667. The next prime is 85692689. The reversal of 85692672 is 27629658.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 56791296 = 5376^2 + 7536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28522 + ... + 31382.

It is an arithmetic number, because the mean of its divisors is an integer number (2464553).

Almost surely, 2^85692672 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 85692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133085862).

85692672 is an abundant number, since it is smaller than the sum of its proper divisors (180479052).

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

85692672 is a wasteful number, since it uses less digits than its factorization.

85692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2879 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 85692672 is about 9257.0336501495. The cubic root of 85692672 is about 440.8740751420.

It can be divided in two parts, 856 and 92672, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 85692672 in words is "eighty-five million, six hundred ninety-two thousand, six hundred seventy-two".