72644 has 24 divisors (see below), whose sum is σ = 150528. Its totient is φ = 30240.

The previous prime is 72643. The next prime is 72647. The reversal of 72644 is 44627.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72644.

It is not an unprimeable number, because it can be changed into a prime (72643) 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, 509 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (6272).

2⁷²⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

72644 is an abundant number, since it is smaller than the sum of its proper divisors (77884).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264).

72644 is a wasteful number, since it uses less digits than its factorization.

72644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 72644 is about 269.5255089968. The cubic root of 72644 is about 41.7253431088.

The spelling of 72644 in words is "seventy-two thousand, six hundred forty-four".