72608100 has 72 divisors (see below), whose sum is σ = 211444800. Its totient is φ = 19236480.

The previous prime is 72608087. The next prime is 72608111. The reversal of 72608100 is 180627.

It is a super-2 number, since 2×72608100² = 10543872371220000, which contains 22 as substring.

It is an unprimeable number.

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, 51201 + ... + 52599.

Almost surely, 2^72608100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72608100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105722400).

72608100 is an abundant number, since it is smaller than the sum of its proper divisors (138836700).

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

72608100 is a wasteful number, since it uses less digits than its factorization.

72608100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72608100 is about 8521.0386690825. The cubic root of 72608100 is about 417.1846854865.

Adding to 72608100 its reverse (180627), we get a palindrome (72788727).

The spelling of 72608100 in words is "seventy-two million, six hundred eight thousand, one hundred".