72846976 has 16 divisors (see below), whose sum is σ = 145125090. Its totient is φ = 36423424.

The previous prime is 72846973. The next prime is 72846997. The reversal of 72846976 is 67964827.

It can be written as a sum of positive squares in only one way, i.e., 70157376 + 2689600 = 8376^2 + 1640^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (72846971) 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 as a sum of consecutive naturals, namely, 284431 + ... + 284686.

Almost surely, 2^72846976 is an apocalyptic number.

It is an amenable number.

72846976 is a deficient number, since it is larger than the sum of its proper divisors (72278114).

72846976 is an equidigital number, since it uses as much as digits as its factorization.

72846976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569131 (or 569119 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The square root of 72846976 is about 8535.0439952000. The cubic root of 72846976 is about 417.6416883168.

The spelling of 72846976 in words is "seventy-two million, eight hundred forty-six thousand, nine hundred seventy-six".