72337792 has 32 divisors (see below), whose sum is σ = 146843280. Its totient is φ = 35483136.

The previous prime is 72337789. The next prime is 72337801. The reversal of 72337792 is 29773327.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1453 + ... + 12115.

Almost surely, 2^72337792 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 72337792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73421640).

72337792 is an abundant number, since it is smaller than the sum of its proper divisors (74505488).

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

72337792 is a wasteful number, since it uses less digits than its factorization.

72337792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10718 counting only the distinct ones).

The product of its digits is 111132, while the sum is 40.

The square root of 72337792 is about 8505.1626674626. The cubic root of 72337792 is about 416.6663384175. Note that the first 3 decimals are identical.

The spelling of 72337792 in words is "seventy-two million, three hundred thirty-seven thousand, seven hundred ninety-two".