72018672 has 40 divisors (see below), whose sum is σ = 202963200. Its totient is φ = 21823680.

The previous prime is 72018671. The next prime is 72018767. The reversal of 72018672 is 27681027.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72018671) 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 7 ways as a sum of consecutive naturals, for example, 67672 + ... + 68727.

It is an arithmetic number, because the mean of its divisors is an integer number (5074080).

Almost surely, 2^72018672 is an apocalyptic number.

It is an amenable number.

72018672 is an abundant number, since it is smaller than the sum of its proper divisors (130944528).

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

72018672 is a wasteful number, since it uses less digits than its factorization.

72018672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136421 (or 136415 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 72018672 is about 8486.3815610659. The cubic root of 72018672 is about 416.0527238402.

Adding to 72018672 its reverse (27681027), we get a palindrome (99699699).

The spelling of 72018672 in words is "seventy-two million, eighteen thousand, six hundred seventy-two".