72641112 has 32 divisors (see below), whose sum is σ = 182212800. Its totient is φ = 24132384.

The previous prime is 72641089. The next prime is 72641131. The reversal of 72641112 is 21114627.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2439 + ... + 12297.

It is an arithmetic number, because the mean of its divisors is an integer number (5694150).

Almost surely, 2^72641112 is an apocalyptic number.

It is an amenable number.

72641112 is an abundant number, since it is smaller than the sum of its proper divisors (109571688).

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

72641112 is a wasteful number, since it uses less digits than its factorization.

72641112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175 (or 10171 counting only the distinct ones).

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

The square root of 72641112 is about 8522.9755367477. The cubic root of 72641112 is about 417.2479016389.

Adding to 72641112 its reverse (21114627), we get a palindrome (93755739).

The spelling of 72641112 in words is "seventy-two million, six hundred forty-one thousand, one hundred twelve".