72632933 has 2 divisors, whose sum is σ = 72632934. Its totient is φ = 72632932.

The previous prime is 72632899. The next prime is 72632939. The reversal of 72632933 is 33923627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66863329 + 5769604 = 8177^2 + 2402^2 .

It is a cyclic number.

It is not a de Polignac number, because 72632933 - 2⁶ = 72632869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72632893 and 72632902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72632939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36316466 + 36316467.

It is an arithmetic number, because the mean of its divisors is an integer number (36316467).

Almost surely, 2^72632933 is an apocalyptic number.

It is an amenable number.

72632933 is a deficient number, since it is larger than the sum of its proper divisors (1).

72632933 is an equidigital number, since it uses as much as digits as its factorization.

72632933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 35.

The square root of 72632933 is about 8522.4957025510. The cubic root of 72632933 is about 417.2322410918.

The spelling of 72632933 in words is "seventy-two million, six hundred thirty-two thousand, nine hundred thirty-three".