72412100 has 18 divisors (see below), whose sum is σ = 157134474. Its totient is φ = 28964800.

The previous prime is 72412099. The next prime is 72412121. The reversal of 72412100 is 121427.

It can be written as a sum of positive squares in 3 ways, for example, as 13675204 + 58736896 = 3698^2 + 7664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361961 + ... + 362160.

It is an arithmetic number, because the mean of its divisors is an integer number (8729693).

Almost surely, 2^72412100 is an apocalyptic number.

It is an amenable number.

72412100 is an abundant number, since it is smaller than the sum of its proper divisors (84722374).

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

72412100 is a wasteful number, since it uses less digits than its factorization.

72412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724135 (or 724128 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 72412100 is about 8509.5299517658. The cubic root of 72412100 is about 416.8089611777.

Adding to 72412100 its reverse (121427), we get a palindrome (72533527).

The spelling of 72412100 in words is "seventy-two million, four hundred twelve thousand, one hundred".