72132831 has 12 divisors (see below), whose sum is σ = 107785080. Its totient is φ = 46430160.

The previous prime is 72132787. The next prime is 72132847. The reversal of 72132831 is 13823127.

It is not a de Polignac number, because 72132831 - 2¹³ = 72124639 is a prime.

It is a super-2 number, since 2×72132831² = 10406290616149122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72132795 and 72132804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72132871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137925 + ... + 138446.

It is an arithmetic number, because the mean of its divisors is an integer number (8982090).

Almost surely, 2^72132831 is an apocalyptic number.

72132831 is a deficient number, since it is larger than the sum of its proper divisors (35652249).

72132831 is a wasteful number, since it uses less digits than its factorization.

72132831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276406 (or 276403 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 72132831 is about 8493.1049092779. The cubic root of 72132831 is about 416.2724404210.

Adding to 72132831 its reverse (13823127), we get a palindrome (85955958).

The spelling of 72132831 in words is "seventy-two million, one hundred thirty-two thousand, eight hundred thirty-one".