72724480 has 104 divisors (see below), whose sum is σ = 180464112. Its totient is φ = 28114944.

The previous prime is 72724471. The next prime is 72724493. The reversal of 72724480 is 8442727.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085407 + ... + 1085473.

Almost surely, 2^72724480 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 72724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90232056).

72724480 is an abundant number, since it is smaller than the sum of its proper divisors (107739632).

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

72724480 is an equidigital number, since it uses as much as digits as its factorization.

72724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 72724480 is about 8527.8649145023. The cubic root of 72724480 is about 417.4074615324.

The spelling of 72724480 in words is "seventy-two million, seven hundred twenty-four thousand, four hundred eighty".