72810968 has 16 divisors (see below), whose sum is σ = 140210880. Its totient is φ = 35421408.

The previous prime is 72810961. The next prime is 72811007. The reversal of 72810968 is 86901827.

It is a super-2 number, since 2×72810968² = 10602874122194048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72810961) 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 3 ways as a sum of consecutive naturals, for example, 122696 + ... + 123287.

It is an arithmetic number, because the mean of its divisors is an integer number (8763180).

Almost surely, 2^72810968 is an apocalyptic number.

It is an amenable number.

72810968 is a deficient number, since it is larger than the sum of its proper divisors (67399912).

72810968 is a wasteful number, since it uses less digits than its factorization.

72810968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246026 (or 246022 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 72810968 is about 8532.9343135876. The cubic root of 72810968 is about 417.5728640441.

The spelling of 72810968 in words is "seventy-two million, eight hundred ten thousand, nine hundred sixty-eight".