72045031 has 16 divisors (see below), whose sum is σ = 80044416. Its totient is φ = 64544256.

The previous prime is 72045013. The next prime is 72045037. The reversal of 72045031 is 13054027.

It is a cyclic number.

It is not a de Polignac number, because 72045031 - 2¹⁵ = 72012263 is a prime.

It is a super-2 number, since 2×72045031² = 10380972983581922, 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 = 72044993 and 72045011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72045037) 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, 28345 + ... + 30781.

It is an arithmetic number, because the mean of its divisors is an integer number (5002776).

Almost surely, 2^72045031 is an apocalyptic number.

72045031 is a deficient number, since it is larger than the sum of its proper divisors (7999385).

72045031 is a wasteful number, since it uses less digits than its factorization.

72045031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72045031 is about 8487.9344365988. The cubic root of 72045031 is about 416.1034764009.

Adding to 72045031 its reverse (13054027), we get a palindrome (85099058).

The spelling of 72045031 in words is "seventy-two million, forty-five thousand, thirty-one".