72958976 has 22 divisors (see below), whose sum is σ = 145848750. Its totient is φ = 36478976.

The previous prime is 72958957. The next prime is 72958979. The reversal of 72958976 is 67985927.

It can be written as a sum of positive squares in only one way, i.e., 71910400 + 1048576 = 8480^2 + 1024^2 .

It is not an unprimeable number, because it can be changed into a prime (72958979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34601 + ... + 36648.

Almost surely, 2^72958976 is an apocalyptic number.

It is an amenable number.

72958976 is a deficient number, since it is larger than the sum of its proper divisors (72889774).

72958976 is an equidigital number, since it uses as much as digits as its factorization.

72958976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71269 (or 71251 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 53.

The square root of 72958976 is about 8541.6026599228. The cubic root of 72958976 is about 417.8556158306.

The spelling of 72958976 in words is "seventy-two million, nine hundred fifty-eight thousand, nine hundred seventy-six".