72678964 has 12 divisors (see below), whose sum is σ = 127642788. Its totient is φ = 36209600.

The previous prime is 72678941. The next prime is 72679003. The reversal of 72678964 is 46987627.

72678964 = T₂₀₁ + T₂₀₂ + ... + T₇₆₂.

It can be written as a sum of positive squares in 2 ways, for example, as 19272100 + 53406864 = 4390^2 + 7308^2 .

It is a super-2 number, since 2×72678964² = 10564463616226592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31207 + ... + 33454.

It is an arithmetic number, because the mean of its divisors is an integer number (10636899).

Almost surely, 2^72678964 is an apocalyptic number.

It is an amenable number.

72678964 is a deficient number, since it is larger than the sum of its proper divisors (54963824).

72678964 is a wasteful number, since it uses less digits than its factorization.

72678964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64946 (or 64944 counting only the distinct ones).

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

The square root of 72678964 is about 8525.1958335278. The cubic root of 72678964 is about 417.3203625575.

The spelling of 72678964 in words is "seventy-two million, six hundred seventy-eight thousand, nine hundred sixty-four".