72084052 has 12 divisors (see below), whose sum is σ = 130216576. Its totient is φ = 34879320.

The previous prime is 72084031. The next prime is 72084059. The reversal of 72084052 is 25048027.

It is a super-2 number, since 2×72084052² = 10392221105477408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72084052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72084059) by changing a digit.

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, 290538 + ... + 290785.

Almost surely, 2^72084052 is an apocalyptic number.

It is an amenable number.

72084052 is a deficient number, since it is larger than the sum of its proper divisors (58132524).

72084052 is a wasteful number, since it uses less digits than its factorization.

72084052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581358 (or 581356 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 72084052 is about 8490.2327412150. The cubic root of 72084052 is about 416.1785861067.

The spelling of 72084052 in words is "seventy-two million, eighty-four thousand, fifty-two".