72888840 has 96 divisors (see below), whose sum is σ = 247216320. Its totient is φ = 18589824.

The previous prime is 72888811. The next prime is 72888841. The reversal of 72888840 is 4888827.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72888841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879 + ... + 12681.

It is an arithmetic number, because the mean of its divisors is an integer number (2575170).

Almost surely, 2^72888840 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 72888840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123608160).

72888840 is an abundant number, since it is smaller than the sum of its proper divisors (174327480).

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

72888840 is a wasteful number, since it uses less digits than its factorization.

72888840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 72888840 is about 8537.4961200577. The cubic root of 72888840 is about 417.7216770108.

The spelling of 72888840 in words is "seventy-two million, eight hundred eighty-eight thousand, eight hundred forty".