84137472 has 180 divisors, whose sum is σ = 264118140. Its totient is φ = 25712640.

The previous prime is 84137467. The next prime is 84137479. The reversal of 84137472 is 27473148.

It is a happy number.

It is a super-2 number, since 2×84137472² = 14158228389101568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84137479) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2714097 + ... + 2714127.

It is an arithmetic number, because the mean of its divisors is an integer number (1467323).

Almost surely, 2^84137472 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 84137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132059070).

84137472 is an abundant number, since it is smaller than the sum of its proper divisors (179980668).

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

84137472 is a wasteful number, since it uses less digits than its factorization.

84137472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 55 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 84137472 is about 9172.6480364178. The cubic root of 84137472 is about 438.1906969708.

The spelling of 84137472 in words is "eighty-four million, one hundred thirty-seven thousand, four hundred seventy-two".