72808386 has 96 divisors (see below), whose sum is σ = 181560960. Its totient is φ = 19041792.

The previous prime is 72808381. The next prime is 72808391. The reversal of 72808386 is 68380827.

It is an interprime number because it is at equal distance from previous prime (72808381) and next prime (72808391).

It is a super-2 number, since 2×72808386² = 10602122143849992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72808381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644266 + ... + 644378.

It is an arithmetic number, because the mean of its divisors is an integer number (1891260).

Almost surely, 2^72808386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72808386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90780480).

72808386 is an abundant number, since it is smaller than the sum of its proper divisors (108752574).

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

72808386 is a wasteful number, since it uses less digits than its factorization.

72808386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 72808386 is about 8532.7830161091. The cubic root of 72808386 is about 417.5679280393.

The spelling of 72808386 in words is "seventy-two million, eight hundred eight thousand, three hundred eighty-six".