72672512 has 72 divisors (see below), whose sum is σ = 160265952. Its totient is φ = 32614400.

The previous prime is 72672493. The next prime is 72672517. The reversal of 72672512 is 21527627.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72672517) 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, 368798 + ... + 368994.

It is an arithmetic number, because the mean of its divisors is an integer number (2225916).

Almost surely, 2^72672512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80132976).

72672512 is an abundant number, since it is smaller than the sum of its proper divisors (87593440).

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

72672512 is a wasteful number, since it uses less digits than its factorization.

72672512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 72672512 is about 8524.8174173996. The cubic root of 72672512 is about 417.3080131306.

It can be divided in two parts, 7267 and 2512, that added together give a palindrome (9779).

The spelling of 72672512 in words is "seventy-two million, six hundred seventy-two thousand, five hundred twelve".