72488416 has 192 divisors, whose sum is σ = 200503296. Its totient is φ = 24883200.

The previous prime is 72488399. The next prime is 72488431. The reversal of 72488416 is 61488427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992956 + ... + 993028.

It is an arithmetic number, because the mean of its divisors is an integer number (1044288).

Almost surely, 2^72488416 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 72488416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100251648).

72488416 is an abundant number, since it is smaller than the sum of its proper divisors (128014880).

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

72488416 is a wasteful number, since it uses less digits than its factorization.

72488416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 72488416 is about 8514.0129198868. The cubic root of 72488416 is about 416.9553364590.

The spelling of 72488416 in words is "seventy-two million, four hundred eighty-eight thousand, four hundred sixteen".