72381792 has 96 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 19588608.

The previous prime is 72381787. The next prime is 72381797. The reversal of 72381792 is 29718327.

It is an interprime number because it is at equal distance from previous prime (72381787) and next prime (72381797).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 72381792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72381797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9934 + ... + 15602.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^72381792 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 72381792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

72381792 is an abundant number, since it is smaller than the sum of its proper divisors (156232608).

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

72381792 is a wasteful number, since it uses less digits than its factorization.

72381792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5700 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 72381792 is about 8507.7489384678. The cubic root of 72381792 is about 416.7508014279.

The spelling of 72381792 in words is "seventy-two million, three hundred eighty-one thousand, seven hundred ninety-two".