72800975 has 18 divisors (see below), whose sum is σ = 97757136. Its totient is φ = 53757600.

The previous prime is 72800971. The next prime is 72800977. The reversal of 72800975 is 57900827.

It is not a de Polignac number, because 72800975 - 2² = 72800971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4391 + ... + 12840.

It is an arithmetic number, because the mean of its divisors is an integer number (5430952).

Almost surely, 2^72800975 is an apocalyptic number.

72800975 is a deficient number, since it is larger than the sum of its proper divisors (24956161).

72800975 is a wasteful number, since it uses less digits than its factorization.

72800975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17267 (or 17249 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 72800975 is about 8532.3487387706. The cubic root of 72800975 is about 417.5537597953.

The spelling of 72800975 in words is "seventy-two million, eight hundred thousand, nine hundred seventy-five".