72945100 has 18 divisors (see below), whose sum is σ = 158291084. Its totient is φ = 29178000.

The previous prime is 72945097. The next prime is 72945101. The reversal of 72945100 is 154927.

It is a happy number.

It is a super-2 number, since 2×72945100² = 10641975228020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72945101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364626 + ... + 364825.

Almost surely, 2^72945100 is an apocalyptic number.

It is an amenable number.

72945100 is an abundant number, since it is smaller than the sum of its proper divisors (85345984).

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

72945100 is a wasteful number, since it uses less digits than its factorization.

72945100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729465 (or 729458 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 72945100 is about 8540.7903615532. The cubic root of 72945100 is about 417.8291236269.

The spelling of 72945100 in words is "seventy-two million, nine hundred forty-five thousand, one hundred".