72700933 has 2 divisors, whose sum is σ = 72700934. Its totient is φ = 72700932.

The previous prime is 72700909. The next prime is 72700937. The reversal of 72700933 is 33900727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70845889 + 1855044 = 8417^2 + 1362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72700933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72700895 and 72700904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72700937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36350466 + 36350467.

It is an arithmetic number, because the mean of its divisors is an integer number (36350467).

Almost surely, 2^72700933 is an apocalyptic number.

It is an amenable number.

72700933 is a deficient number, since it is larger than the sum of its proper divisors (1).

72700933 is an equidigital number, since it uses as much as digits as its factorization.

72700933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 72700933 is about 8526.4842109747. The cubic root of 72700933 is about 417.3624067609.

The spelling of 72700933 in words is "seventy-two million, seven hundred thousand, nine hundred thirty-three".