72086238 has 48 divisors (see below), whose sum is σ = 181184640. Its totient is φ = 20286288.

The previous prime is 72086213. The next prime is 72086269. The reversal of 72086238 is 83268027.

It is a happy number.

72086238 is a `hidden beast` number, since 7 + 20 + 8 + 623 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4173 + ... + 12711.

It is an arithmetic number, because the mean of its divisors is an integer number (3774680).

Almost surely, 2^72086238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72086238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90592320).

72086238 is an abundant number, since it is smaller than the sum of its proper divisors (109098402).

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

72086238 is a wasteful number, since it uses less digits than its factorization.

72086238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72086238 is about 8490.3614764037. The cubic root of 72086238 is about 416.1827930344.

The spelling of 72086238 in words is "seventy-two million, eighty-six thousand, two hundred thirty-eight".