72111632 has 20 divisors (see below), whose sum is σ = 144535020. Its totient is φ = 34812288.

The previous prime is 72111619. The next prime is 72111649. The reversal of 72111632 is 23611127.

It can be written as a sum of positive squares in 2 ways, for example, as 20214016 + 51897616 = 4496^2 + 7204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72111598 and 72111607.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77243 + ... + 78170.

It is an arithmetic number, because the mean of its divisors is an integer number (7226751).

Almost surely, 2^72111632 is an apocalyptic number.

It is an amenable number.

72111632 is an abundant number, since it is smaller than the sum of its proper divisors (72423388).

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

72111632 is a wasteful number, since it uses less digits than its factorization.

72111632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155450 (or 155444 counting only the distinct ones).

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

The square root of 72111632 is about 8491.8568051987. The cubic root of 72111632 is about 416.2316572161.

Adding to 72111632 its reverse (23611127), we get a palindrome (95722759).

The spelling of 72111632 in words is "seventy-two million, one hundred eleven thousand, six hundred thirty-two".