72047031 has 16 divisors (see below), whose sum is σ = 115564800. Its totient is φ = 39002688.

The previous prime is 72046999. The next prime is 72047033. The reversal of 72047031 is 13074027.

It is not a de Polignac number, because 72047031 - 2⁵ = 72046999 is a prime.

It is a super-2 number, since 2×72047031² = 10381549351829922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72046992 and 72047010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72047033) 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, 89886 + ... + 90683.

It is an arithmetic number, because the mean of its divisors is an integer number (7222800).

Almost surely, 2^72047031 is an apocalyptic number.

72047031 is a deficient number, since it is larger than the sum of its proper divisors (43517769).

72047031 is a wasteful number, since it uses less digits than its factorization.

72047031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180598.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72047031 is about 8488.0522500748. The cubic root of 72047031 is about 416.1073267671.

The spelling of 72047031 in words is "seventy-two million, forty-seven thousand, thirty-one".