72577333 has 2 divisors, whose sum is σ = 72577334. Its totient is φ = 72577332.

The previous prime is 72577319. The next prime is 72577381. The reversal of 72577333 is 33377527.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43059844 + 29517489 = 6562^2 + 5433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72577333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72577292 and 72577301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72577303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36288666 + 36288667.

It is an arithmetic number, because the mean of its divisors is an integer number (36288667).

Almost surely, 2^72577333 is an apocalyptic number.

It is an amenable number.

72577333 is a deficient number, since it is larger than the sum of its proper divisors (1).

72577333 is an equidigital number, since it uses as much as digits as its factorization.

72577333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 92610, while the sum is 37.

The square root of 72577333 is about 8519.2331227640. The cubic root of 72577333 is about 417.1257511315.

The spelling of 72577333 in words is "seventy-two million, five hundred seventy-seven thousand, three hundred thirty-three".