72073920 has 112 divisors (see below), whose sum is σ = 230611680. Its totient is φ = 19070976.

The previous prime is 72073913. The next prime is 72073921. The reversal of 72073920 is 2937027.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72073921) 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, 185086 + ... + 185474.

Almost surely, 2^72073920 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 72073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115305840).

72073920 is an abundant number, since it is smaller than the sum of its proper divisors (158537760).

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

72073920 is a wasteful number, since it uses less digits than its factorization.

72073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 72073920 is about 8489.6360346012. The cubic root of 72073920 is about 416.1590860976.

The spelling of 72073920 in words is "seventy-two million, seventy-three thousand, nine hundred twenty".