72905982 has 16 divisors (see below), whose sum is σ = 145931520. Its totient is φ = 24282072.

The previous prime is 72905981. The next prime is 72905993. The reversal of 72905982 is 28950927.

It is a super-2 number, since 2×72905982² = 10630564422768648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72905981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4269 + ... + 12807.

It is an arithmetic number, because the mean of its divisors is an integer number (9120720).

Almost surely, 2^72905982 is an apocalyptic number.

It is a pronic number, being equal to 8538×8539.

72905982 is an abundant number, since it is smaller than the sum of its proper divisors (73025538).

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

72905982 is a wasteful number, since it uses less digits than its factorization.

72905982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 72905982 is about 8538.4999853604. The cubic root of 72905982 is about 417.7544210437.

The spelling of 72905982 in words is "seventy-two million, nine hundred five thousand, nine hundred eighty-two".