85701972 has 48 divisors (see below), whose sum is σ = 205837632. Its totient is φ = 27736320.

The previous prime is 85701929. The next prime is 85701991. The reversal of 85701972 is 27910758.

It is a self number, because there is not a number n which added to its sum of digits gives 85701972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183283 + ... + 183749.

It is an arithmetic number, because the mean of its divisors is an integer number (4288284).

Almost surely, 2^85701972 is an apocalyptic number.

85701972 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

85701972 is an abundant number, since it is smaller than the sum of its proper divisors (120135660).

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

85701972 is a wasteful number, since it uses less digits than its factorization.

85701972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 85701972 is about 9257.5359572621. The cubic root of 85701972 is about 440.8900235325.

The spelling of 85701972 in words is "eighty-five million, seven hundred one thousand, nine hundred seventy-two".