72059085 has 32 divisors (see below), whose sum is σ = 146407680. Its totient is φ = 32940864.

The previous prime is 72059051. The next prime is 72059087. The reversal of 72059085 is 58095027.

It is not a de Polignac number, because 72059085 - 2⁶ = 72059021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72059087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37182 + ... + 39071.

It is an arithmetic number, because the mean of its divisors is an integer number (4575240).

Almost surely, 2^72059085 is an apocalyptic number.

It is an amenable number.

72059085 is an abundant number, since it is smaller than the sum of its proper divisors (74348595).

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

72059085 is a wasteful number, since it uses less digits than its factorization.

72059085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76274 (or 76268 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 72059085 is about 8488.7622772699. The cubic root of 72059085 is about 416.1305314152.

It can be divided in two parts, 7205 and 9085, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 72059085 in words is "seventy-two million, fifty-nine thousand, eighty-five".