72968577 has 12 divisors (see below), whose sum is σ = 106207536. Its totient is φ = 44193640.

The previous prime is 72968563. The next prime is 72968579. The reversal of 72968577 is 77586927.

It is not a de Polignac number, because 72968577 - 2¹⁴ = 72952193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72968579) 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 in 11 ways as a sum of consecutive naturals, for example, 48328 + ... + 49814.

It is an arithmetic number, because the mean of its divisors is an integer number (8850628).

Almost surely, 2^72968577 is an apocalyptic number.

It is an amenable number.

72968577 is a deficient number, since it is larger than the sum of its proper divisors (33238959).

72968577 is an equidigital number, since it uses as much as digits as its factorization.

72968577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 1501 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 72968577 is about 8542.1646554020. The cubic root of 72968577 is about 417.8739441936.

The spelling of 72968577 in words is "seventy-two million, nine hundred sixty-eight thousand, five hundred seventy-seven".