72083031 has 8 divisors (see below), whose sum is σ = 96184560. Its totient is φ = 48018432.

The previous prime is 72082999. The next prime is 72083057. The reversal of 72083031 is 13038027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72083031 - 2⁵ = 72082999 is a prime.

It is a super-2 number, since 2×72083031² = 10391926716293922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72082992 and 72083010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72083731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4300 + ... + 12753.

It is an arithmetic number, because the mean of its divisors is an integer number (12023070).

Almost surely, 2^72083031 is an apocalyptic number.

72083031 is a deficient number, since it is larger than the sum of its proper divisors (24101529).

72083031 is a wasteful number, since it uses less digits than its factorization.

72083031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18465.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 72083031 is about 8490.1726130863. The cubic root of 72083031 is about 416.1766211767.

The spelling of 72083031 in words is "seventy-two million, eighty-three thousand, thirty-one".