72661100 has 18 divisors (see below), whose sum is σ = 157674804. Its totient is φ = 29064400.

The previous prime is 72661097. The next prime is 72661103. The reversal of 72661100 is 116627.

It is an interprime number because it is at equal distance from previous prime (72661097) and next prime (72661103).

It is not an unprimeable number, because it can be changed into a prime (72661103) 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, 363206 + ... + 363405.

Almost surely, 2^72661100 is an apocalyptic number.

It is an amenable number.

72661100 is an abundant number, since it is smaller than the sum of its proper divisors (85013704).

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

72661100 is a wasteful number, since it uses less digits than its factorization.

72661100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726625 (or 726618 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 72661100 is about 8524.1480512718. The cubic root of 72661100 is about 417.2861682440.

Adding to 72661100 its reverse (116627), we get a palindrome (72777727).

The spelling of 72661100 in words is "seventy-two million, six hundred sixty-one thousand, one hundred".