72087792 has 80 divisors (see below), whose sum is σ = 215819520. Its totient is φ = 20307456.

The previous prime is 72087761. The next prime is 72087797. The reversal of 72087792 is 29778027.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72087797) 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, 23059 + ... + 25997.

It is an arithmetic number, because the mean of its divisors is an integer number (2697744).

Almost surely, 2^72087792 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 72087792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107909760).

72087792 is an abundant number, since it is smaller than the sum of its proper divisors (143731728).

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

72087792 is a wasteful number, since it uses less digits than its factorization.

72087792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 72087792 is about 8490.4529914487. The cubic root of 72087792 is about 416.1857836349.

The spelling of 72087792 in words is "seventy-two million, eighty-seven thousand, seven hundred ninety-two".