72645210 has 48 divisors (see below), whose sum is σ = 206051040. Its totient is φ = 17610720.

The previous prime is 72645197. The next prime is 72645211. The reversal of 72645210 is 1254627.

72645210 is a `hidden beast` number, since 7 + 2 + 645 + 2 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (72645211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35700 + ... + 37679.

It is an arithmetic number, because the mean of its divisors is an integer number (4292730).

Almost surely, 2^72645210 is an apocalyptic number.

72645210 is an abundant number, since it is smaller than the sum of its proper divisors (133405830).

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

72645210 is a wasteful number, since it uses less digits than its factorization.

72645210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73403 (or 73400 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72645210 is about 8523.2159423542. The cubic root of 72645210 is about 417.2557477456.

Adding to 72645210 its reverse (1254627), we get a palindrome (73899837).

The spelling of 72645210 in words is "seventy-two million, six hundred forty-five thousand, two hundred ten".