72022944 has 144 divisors (see below), whose sum is σ = 224423136. Its totient is φ = 20160000.

The previous prime is 72022933. The next prime is 72022969. The reversal of 72022944 is 44922027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286819 + ... + 287069.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^72022944 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 72022944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568).

72022944 is an abundant number, since it is smaller than the sum of its proper divisors (152400192).

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

72022944 is a wasteful number, since it uses less digits than its factorization.

72022944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72022944 is about 8486.6332547130. The cubic root of 72022944 is about 416.0609501424.

The spelling of 72022944 in words is "seventy-two million, twenty-two thousand, nine hundred forty-four".