72085580 has 48 divisors (see below), whose sum is σ = 174720000. Its totient is φ = 24470208.

The previous prime is 72085577. The next prime is 72085597. The reversal of 72085580 is 8558027.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72085580.

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, 11921 + ... + 16919.

It is an arithmetic number, because the mean of its divisors is an integer number (3640000).

Almost surely, 2^72085580 is an apocalyptic number.

72085580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72085580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360000).

72085580 is an abundant number, since it is smaller than the sum of its proper divisors (102634420).

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

72085580 is a wasteful number, since it uses less digits than its factorization.

72085580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 72085580 is about 8490.3227264928. The cubic root of 72085580 is about 416.1815267312.

The spelling of 72085580 in words is "seventy-two million, eighty-five thousand, five hundred eighty".