84072132 has 36 divisors (see below), whose sum is σ = 214149936. Its totient is φ = 27808560.

The previous prime is 84072101. The next prime is 84072133. The reversal of 84072132 is 23127048.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 84072096 and 84072105.

It is not an unprimeable number, because it can be changed into a prime (84072133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4198 + ... + 13629.

Almost surely, 2^84072132 is an apocalyptic number.

It is an amenable number.

84072132 is an abundant number, since it is smaller than the sum of its proper divisors (130077804).

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

84072132 is a wasteful number, since it uses less digits than its factorization.

84072132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17968 (or 17963 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84072132 is about 9169.0856687022. The cubic root of 84072132 is about 438.0772366452.

The spelling of 84072132 in words is "eighty-four million, seventy-two thousand, one hundred thirty-two".