72912 has 60 divisors (see below), whose sum is σ = 226176. Its totient is φ = 20160.

The previous prime is 72911. The next prime is 72923. The reversal of 72912 is 21927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2337 + ... + 2367.

2⁷²⁹¹² 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 72912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

72912 is an abundant number, since it is smaller than the sum of its proper divisors (153264).

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

72912 is a wasteful number, since it uses less digits than its factorization.

72912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 72912 is about 270.0222213078. The cubic root of 72912 is about 41.7765915194.

It can be divided in two parts, 729 and 12, that added together give a triangular number (741 = T₃₈).

The spelling of 72912 in words is "seventy-two thousand, nine hundred twelve".