72283392 has 108 divisors (see below), whose sum is σ = 210848820. Its totient is φ = 23814144.

The previous prime is 72283373. The next prime is 72283403. The reversal of 72283392 is 29338227.

It can be written as a sum of positive squares in 2 ways, for example, as 56791296 + 15492096 = 7536^2 + 3936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 315534 + ... + 315762.

Almost surely, 2^72283392 is an apocalyptic number.

72283392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105424410).

72283392 is an abundant number, since it is smaller than the sum of its proper divisors (138565428).

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

72283392 is a wasteful number, since it uses less digits than its factorization.

72283392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72283392 is about 8501.9640083924. The cubic root of 72283392 is about 416.5618640594.

The spelling of 72283392 in words is "seventy-two million, two hundred eighty-three thousand, three hundred ninety-two".