72147031 has 16 divisors (see below), whose sum is σ = 83693088. Its totient is φ = 61465600.

The previous prime is 72147001. The next prime is 72147043. The reversal of 72147031 is 13074127.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72147031 - 2²¹ = 70049879 is a prime.

It is a super-2 number, since 2×72147031² = 10410388164229922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72146987 and 72147005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72147001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51861 + ... + 53233.

It is an arithmetic number, because the mean of its divisors is an integer number (5230818).

Almost surely, 2^72147031 is an apocalyptic number.

72147031 is a deficient number, since it is larger than the sum of its proper divisors (11546057).

72147031 is a wasteful number, since it uses less digits than its factorization.

72147031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 72147031 is about 8493.9408403873. The cubic root of 72147031 is about 416.2997542934.

The spelling of 72147031 in words is "seventy-two million, one hundred forty-seven thousand, thirty-one".