72645244 has 36 divisors (see below), whose sum is σ = 148523760. Its totient is φ = 30999360.

The previous prime is 72645241. The next prime is 72645257. The reversal of 72645244 is 44254627.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72645241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54417 + ... + 55735.

It is an arithmetic number, because the mean of its divisors is an integer number (4125660).

Almost surely, 2^72645244 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 72645244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74261880).

72645244 is an abundant number, since it is smaller than the sum of its proper divisors (75878516).

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

72645244 is a wasteful number, since it uses less digits than its factorization.

72645244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1609 counting only the distinct ones).

The product of its digits is 53760, while the sum is 34.

The square root of 72645244 is about 8523.2179369062. The cubic root of 72645244 is about 417.2558128414.

The spelling of 72645244 in words is "seventy-two million, six hundred forty-five thousand, two hundred forty-four".