72072582 has 32 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 23170560.

The previous prime is 72072563. The next prime is 72072607. The reversal of 72072582 is 28527027.

It is a super-2 number, since 2×72072582² = 10388914152293448, which contains 22 as substring.

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, 83083 + ... + 83945.

It is an arithmetic number, because the mean of its divisors is an integer number (4665600).

Almost surely, 2^72072582 is an apocalyptic number.

72072582 is an abundant number, since it is smaller than the sum of its proper divisors (77226618).

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

72072582 is a wasteful number, since it uses less digits than its factorization.

72072582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348.

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 72072582 is about 8489.5572322707. The cubic root of 72072582 is about 416.1565108512.

The spelling of 72072582 in words is "seventy-two million, seventy-two thousand, five hundred eighty-two".