72888240 has 80 divisors (see below), whose sum is σ = 226994400. Its totient is φ = 19347456.

The previous prime is 72888239. The next prime is 72888251. The reversal of 72888240 is 4288827.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63996 + ... + 65124.

It is an arithmetic number, because the mean of its divisors is an integer number (2837430).

Almost surely, 2^72888240 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 72888240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113497200).

72888240 is an abundant number, since it is smaller than the sum of its proper divisors (154106160).

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

72888240 is a wasteful number, since it uses less digits than its factorization.

72888240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 72888240 is about 8537.4609808772. The cubic root of 72888240 is about 417.7205308193.

The spelling of 72888240 in words is "seventy-two million, eight hundred eighty-eight thousand, two hundred forty".