72645100 has 36 divisors (see below), whose sum is σ = 171973368. Its totient is φ = 26416000.

The previous prime is 72645091. The next prime is 72645187. The reversal of 72645100 is 154627.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31921 + ... + 34120.

It is an arithmetic number, because the mean of its divisors is an integer number (4777038).

Almost surely, 2^72645100 is an apocalyptic number.

It is an amenable number.

72645100 is an abundant number, since it is smaller than the sum of its proper divisors (99328268).

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

72645100 is a wasteful number, since it uses less digits than its factorization.

72645100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66066 (or 66059 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 72645100 is about 8523.2094893884. The cubic root of 72645100 is about 417.2555371415.

Adding to 72645100 its reverse (154627), we get a palindrome (72799727).

The spelling of 72645100 in words is "seventy-two million, six hundred forty-five thousand, one hundred".