85907072 has 32 divisors (see below), whose sum is σ = 173088900. Its totient is φ = 42465280.

The previous prime is 85907053. The next prime is 85907099. The reversal of 85907072 is 27070958.

It can be written as a sum of positive squares in 2 ways, for example, as 73685056 + 12222016 = 8584^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×85907072² = 14760050039226368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7622 + ... + 15162.

Almost surely, 2^85907072 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 85907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86544450).

85907072 is an abundant number, since it is smaller than the sum of its proper divisors (87181828).

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

85907072 is an equidigital number, since it uses as much as digits as its factorization.

85907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 85907072 is about 9268.6067992984. The cubic root of 85907072 is about 441.2414526455.

The spelling of 85907072 in words is "eighty-five million, nine hundred seven thousand, seventy-two".