72982938 has 32 divisors (see below), whose sum is σ = 176632704. Its totient is φ = 19625472.

The previous prime is 72982909. The next prime is 72982939. The reversal of 72982938 is 83928927.

It is a happy number.

It is a super-2 number, since 2×72982938² = 10653018478223688, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72982939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50395 + ... + 51822.

It is an arithmetic number, because the mean of its divisors is an integer number (5519772).

Almost surely, 2^72982938 is an apocalyptic number.

72982938 is an abundant number, since it is smaller than the sum of its proper divisors (103649766).

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

72982938 is a wasteful number, since it uses less digits than its factorization.

72982938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102246.

The product of its digits is 435456, while the sum is 48.

The square root of 72982938 is about 8543.0052089414. The cubic root of 72982938 is about 417.9013564228.

It can be divided in two parts, 72982 and 938, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 72982938 in words is "seventy-two million, nine hundred eighty-two thousand, nine hundred thirty-eight".