72971344 has 60 divisors (see below), whose sum is σ = 154099264. Its totient is φ = 33449472.

The previous prime is 72971333. The next prime is 72971369. The reversal of 72971344 is 44317927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198649 + ... + 199015.

Almost surely, 2^72971344 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 72971344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77049632).

72971344 is an abundant number, since it is smaller than the sum of its proper divisors (81127920).

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

72971344 is a wasteful number, since it uses less digits than its factorization.

72971344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 72971344 is about 8542.3266151558. The cubic root of 72971344 is about 417.8792261138.

The spelling of 72971344 in words is "seventy-two million, nine hundred seventy-one thousand, three hundred forty-four".