72200808 has 80 divisors (see below), whose sum is σ = 205370880. Its totient is φ = 23693472.

The previous prime is 72200803. The next prime is 72200813. The reversal of 72200808 is 80800227.

It is an interprime number because it is at equal distance from previous prime (72200803) and next prime (72200813).

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 (72200803) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42585 + ... + 44247.

It is an arithmetic number, because the mean of its divisors is an integer number (2567136).

Almost surely, 2^72200808 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 72200808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102685440).

72200808 is an abundant number, since it is smaller than the sum of its proper divisors (133170072).

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

72200808 is a wasteful number, since it uses less digits than its factorization.

72200808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1735 counting only the distinct ones).

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

The square root of 72200808 is about 8497.1058602326. The cubic root of 72200808 is about 416.4031625303.

The spelling of 72200808 in words is "seventy-two million, two hundred thousand, eight hundred eight".