72762970 has 32 divisors (see below), whose sum is σ = 157564800. Its totient is φ = 23633856.

The previous prime is 72762967. The next prime is 72762971. The reversal of 72762970 is 7926727.

It is not an unprimeable number, because it can be changed into a prime (72762971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26025 + ... + 28684.

It is an arithmetic number, because the mean of its divisors is an integer number (4923900).

Almost surely, 2^72762970 is an apocalyptic number.

72762970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72762970 is an abundant number, since it is smaller than the sum of its proper divisors (84801830).

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

72762970 is a wasteful number, since it uses less digits than its factorization.

72762970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54742.

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 72762970 is about 8530.1213355966. The cubic root of 72762970 is about 417.4810872664.

The spelling of 72762970 in words is "seventy-two million, seven hundred sixty-two thousand, nine hundred seventy".