72932769 has 24 divisors (see below), whose sum is σ = 129659712. Its totient is φ = 38469600.

The previous prime is 72932753. The next prime is 72932803. The reversal of 72932769 is 96723927.

It is a happy number.

It is not a de Polignac number, because 72932769 - 2⁴ = 72932753 is a prime.

It is a super-2 number, since 2×72932769² = 10638377588014722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72932369) 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 in 23 ways as a sum of consecutive naturals, for example, 43707 + ... + 45344.

It is an arithmetic number, because the mean of its divisors is an integer number (5402488).

Almost surely, 2^72932769 is an apocalyptic number.

It is an amenable number.

72932769 is a deficient number, since it is larger than the sum of its proper divisors (56726943).

72932769 is a wasteful number, since it uses less digits than its factorization.

72932769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89077 (or 89074 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 72932769 is about 8540.0684423487. The cubic root of 72932769 is about 417.8055783339.

The spelling of 72932769 in words is "seventy-two million, nine hundred thirty-two thousand, seven hundred sixty-nine".