72612 has 18 divisors (see below), whose sum is σ = 183638. Its totient is φ = 24192.

The previous prime is 72577. The next prime is 72613. The reversal of 72612 is 21627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 2916 = 264^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (72613) by changing a digit.

72612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 973 + ... + 1044.

2⁷²⁶¹² is an apocalyptic number.

It is an amenable number.

72612 is an abundant number, since it is smaller than the sum of its proper divisors (111026).

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

72612 is a wasteful number, since it uses less digits than its factorization.

72612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2022 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 72612 is about 269.4661388746. The cubic root of 72612 is about 41.7192154769.

The spelling of 72612 in words is "seventy-two thousand, six hundred twelve".