72859392 has 144 divisors (see below), whose sum is σ = 219770880. Its totient is φ = 23804928.

The previous prime is 72859387. The next prime is 72859427. The reversal of 72859392 is 29395827.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 573633 + ... + 573759.

Almost surely, 2^72859392 is an apocalyptic number.

72859392 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 72859392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885440).

72859392 is an abundant number, since it is smaller than the sum of its proper divisors (146911488).

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

72859392 is a wasteful number, since it uses less digits than its factorization.

72859392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 72859392 is about 8535.7713183988. The cubic root of 72859392 is about 417.6654145116.

The spelling of 72859392 in words is "seventy-two million, eight hundred fifty-nine thousand, three hundred ninety-two".