72931 has 2 divisors, whose sum is σ = 72932. Its totient is φ = 72930.

The previous prime is 72923. The next prime is 72937. The reversal of 72931 is 13927.

72931 = T₂₁₉ + T₂₂₀ + T₂₂₁.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72931 - 2³ = 72923 is a prime.

It is a super-2 number, since 2×72931² = 10637861522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36465 + 36466.

It is an arithmetic number, because the mean of its divisors is an integer number (36466).

2⁷²⁹³¹ is an apocalyptic number.

72931 is the 221-st centered triangular number.

72931 is a deficient number, since it is larger than the sum of its proper divisors (1).

72931 is an equidigital number, since it uses as much as digits as its factorization.

72931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 22.

The square root of 72931 is about 270.0574013057. The cubic root of 72931 is about 41.7802200318.

The spelling of 72931 in words is "seventy-two thousand, nine hundred thirty-one".