72013272 has 16 divisors (see below), whose sum is σ = 180033240. Its totient is φ = 24004416.

The previous prime is 72013223. The next prime is 72013283. The reversal of 72013272 is 27231027.

It is a super-3 number, since 3×72013272³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3000553 = 72013272 / (7 + 2 + 0 + 1 + 3 + 2 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1500253 + ... + 1500300.

Almost surely, 2^72013272 is an apocalyptic number.

It is an amenable number.

72013272 is an abundant number, since it is smaller than the sum of its proper divisors (108019968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72013272 is a wasteful number, since it uses less digits than its factorization.

72013272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000562 (or 3000558 counting only the distinct ones).

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

The square root of 72013272 is about 8486.0633983019. The cubic root of 72013272 is about 416.0423249589.

Adding to 72013272 its reverse (27231027), we get a palindrome (99244299).

The spelling of 72013272 in words is "seventy-two million, thirteen thousand, two hundred seventy-two".