72628640 has 96 divisors (see below), whose sum is σ = 206478720. Its totient is φ = 23583744.

The previous prime is 72628639. The next prime is 72628643. The reversal of 72628640 is 4682627.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72628640.

It is not an unprimeable number, because it can be changed into a prime (72628643) 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, 19574 + ... + 22986.

It is an arithmetic number, because the mean of its divisors is an integer number (2150820).

Almost surely, 2^72628640 is an apocalyptic number.

72628640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103239360).

72628640 is an abundant number, since it is smaller than the sum of its proper divisors (133850080).

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

72628640 is a wasteful number, since it uses less digits than its factorization.

72628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 72628640 is about 8522.2438359859. The cubic root of 72628640 is about 417.2240207009.

The spelling of 72628640 in words is "seventy-two million, six hundred twenty-eight thousand, six hundred forty".