72505792 has 56 divisors (see below), whose sum is σ = 150300944. Its totient is φ = 34670592.

The previous prime is 72505781. The next prime is 72505793. The reversal of 72505792 is 29750527.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72505793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158428 + ... + 158884.

Almost surely, 2^72505792 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 72505792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75150472).

72505792 is an abundant number, since it is smaller than the sum of its proper divisors (77795152).

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

72505792 is a wasteful number, since it uses less digits than its factorization.

72505792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 72505792 is about 8515.0332941216. The cubic root of 72505792 is about 416.9886495386.

The spelling of 72505792 in words is "seventy-two million, five hundred five thousand, seven hundred ninety-two".