72443392 has 160 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 27525120.

The previous prime is 72443389. The next prime is 72443429. The reversal of 72443392 is 29334427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (36288) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766892 + ... + 1766932.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^72443392 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 72443392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

72443392 is an abundant number, since it is smaller than the sum of its proper divisors (113169728).

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

72443392 is a wasteful number, since it uses less digits than its factorization.

72443392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 72443392 is about 8511.3683976197. The cubic root of 72443392 is about 416.8689921564.

The spelling of 72443392 in words is "seventy-two million, four hundred forty-three thousand, three hundred ninety-two".