72028008 has 128 divisors (see below), whose sum is σ = 218332800. Its totient is φ = 21869568.

The previous prime is 72028001. The next prime is 72028037. The reversal of 72028008 is 80082027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72028001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317191 + ... + 317417.

It is an arithmetic number, because the mean of its divisors is an integer number (1705725).

Almost surely, 2^72028008 is an apocalyptic number.

72028008 is a gapful number since it is divisible by the number (78) 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 72028008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109166400).

72028008 is an abundant number, since it is smaller than the sum of its proper divisors (146304792).

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

72028008 is a wasteful number, since it uses less digits than its factorization.

72028008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72028008 is about 8486.9316009969. The cubic root of 72028008 is about 416.0707011244.

The spelling of 72028008 in words is "seventy-two million, twenty-eight thousand, eight".