72112632 has 64 divisors (see below), whose sum is σ = 185241600. Its totient is φ = 23385600.

The previous prime is 72112631. The next prime is 72112633. The reversal of 72112632 is 23621127.

It is an interprime number because it is at equal distance from previous prime (72112631) and next prime (72112633).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72112631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 179632 + ... + 180032.

It is an arithmetic number, because the mean of its divisors is an integer number (2894400).

Almost surely, 2^72112632 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 72112632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92620800).

72112632 is an abundant number, since it is smaller than the sum of its proper divisors (113128968).

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

72112632 is a wasteful number, since it uses less digits than its factorization.

72112632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 72112632 is about 8491.9156849323. The cubic root of 72112632 is about 416.2335812225.

Adding to 72112632 its reverse (23621127), we get a palindrome (95733759).

The spelling of 72112632 in words is "seventy-two million, one hundred twelve thousand, six hundred thirty-two".