72590 has 32 divisors (see below), whose sum is σ = 160704. Its totient is φ = 23040.

The previous prime is 72577. The next prime is 72613. The reversal of 72590 is 9527.

72590 = T₁₅ + T₁₆ + ... + T₇₅.

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, 1160 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁷²⁵⁹⁰ is an apocalyptic number.

72590 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72590 is an abundant number, since it is smaller than the sum of its proper divisors (88114).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

72590 is a wasteful number, since it uses less digits than its factorization.

72590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 72590 is about 269.4253143266. The cubic root of 72590 is about 41.7150016855.

The spelling of 72590 in words is "seventy-two thousand, five hundred ninety".