72521344 has 64 divisors (see below), whose sum is σ = 170870400. Its totient is φ = 29998080.

The previous prime is 72521327. The next prime is 72521359. The reversal of 72521344 is 44312527.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24589 + ... + 27379.

It is an arithmetic number, because the mean of its divisors is an integer number (2669850).

Almost surely, 2^72521344 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 72521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85435200).

72521344 is an abundant number, since it is smaller than the sum of its proper divisors (98349056).

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

72521344 is a wasteful number, since it uses less digits than its factorization.

72521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 72521344 is about 8515.9464535658. The cubic root of 72521344 is about 417.0184611517.

The spelling of 72521344 in words is "seventy-two million, five hundred twenty-one thousand, three hundred forty-four".