84076272 has 80 divisors (see below), whose sum is σ = 275815680. Its totient is φ = 24020928.

The previous prime is 84076241. The next prime is 84076277. The reversal of 84076272 is 27267048.

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 (84076277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10878 + ... + 16925.

It is an arithmetic number, because the mean of its divisors is an integer number (3447696).

Almost surely, 2^84076272 is an apocalyptic number.

It is an amenable number.

84076272 is an abundant number, since it is smaller than the sum of its proper divisors (191739408).

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

84076272 is a wasteful number, since it uses less digits than its factorization.

84076272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27827 (or 27815 counting only the distinct ones).

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

The square root of 84076272 is about 9169.3114245291. The cubic root of 84076272 is about 438.0844273355.

It can be divided in two parts, 84076 and 272, that added together give a palindrome (84348).

The spelling of 84076272 in words is "eighty-four million, seventy-six thousand, two hundred seventy-two".