72034944 has 64 divisors (see below), whose sum is σ = 192780000. Its totient is φ = 23831552.

The previous prime is 72034913. The next prime is 72034957. The reversal of 72034944 is 44943027.

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

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, 56587 + ... + 57845.

Almost surely, 2^72034944 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 72034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390000).

72034944 is an abundant number, since it is smaller than the sum of its proper divisors (120745056).

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

72034944 is a wasteful number, since it uses less digits than its factorization.

72034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 72034944 is about 8487.3402194091. The cubic root of 72034944 is about 416.0840559930.

The spelling of 72034944 in words is "seventy-two million, thirty-four thousand, nine hundred forty-four".