72752633 has 4 divisors (see below), whose sum is σ = 72769920. Its totient is φ = 72735348.

The previous prime is 72752597. The next prime is 72752681. The reversal of 72752633 is 33625727.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33625727 = 47 ⋅715441.

It is a cyclic number.

It is not a de Polignac number, because 72752633 - 2¹⁸ = 72490489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72752593 and 72752602.

It is not an unprimeable number, because it can be changed into a prime (72752683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2228 + ... + 12266.

It is an arithmetic number, because the mean of its divisors is an integer number (18192480).

Almost surely, 2^72752633 is an apocalyptic number.

It is an amenable number.

72752633 is a deficient number, since it is larger than the sum of its proper divisors (17287).

72752633 is a wasteful number, since it uses less digits than its factorization.

72752633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17286.

The product of its digits is 52920, while the sum is 35.

The square root of 72752633 is about 8529.5154024130. The cubic root of 72752633 is about 417.4613166497.

The spelling of 72752633 in words is "seventy-two million, seven hundred fifty-two thousand, six hundred thirty-three".