72153631 has 12 divisors (see below), whose sum is σ = 80064936. Its totient is φ = 64969520.

The previous prime is 72153611. The next prime is 72153671. The reversal of 72153631 is 13635127.

It is not a de Polignac number, because 72153631 - 2⁷ = 72153503 is a prime.

It is a super-2 number, since 2×72153631² = 10412292932968322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72153631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153611) 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, 10161 + ... + 15733.

It is an arithmetic number, because the mean of its divisors is an integer number (6672078).

Almost surely, 2^72153631 is an apocalyptic number.

72153631 is a deficient number, since it is larger than the sum of its proper divisors (7911305).

72153631 is a wasteful number, since it uses less digits than its factorization.

72153631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5691 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 72153631 is about 8494.3293437446. The cubic root of 72153631 is about 416.3124482535.

Adding to 72153631 its reverse (13635127), we get a palindrome (85788758).

The spelling of 72153631 in words is "seventy-two million, one hundred fifty-three thousand, six hundred thirty-one".