72966978 has 36 divisors (see below), whose sum is σ = 183908790. Its totient is φ = 20847456.

The previous prime is 72966977. The next prime is 72967039. The reversal of 72966978 is 87966927.

It can be written as a sum of positive squares in only one way, i.e., 64689849 + 8277129 = 8043^2 + 2877^2 .

It is not an unprimeable number, because it can be changed into a prime (72966977) 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 17 ways as a sum of consecutive naturals, for example, 40483 + ... + 42246.

Almost surely, 2^72966978 is an apocalyptic number.

72966978 is an abundant number, since it is smaller than the sum of its proper divisors (110941812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72966978 is a wasteful number, since it uses less digits than its factorization.

72966978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82751 (or 82741 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 72966978 is about 8542.0710603460. The cubic root of 72966978 is about 417.8708918052.

The spelling of 72966978 in words is "seventy-two million, nine hundred sixty-six thousand, nine hundred seventy-eight".