66112032 has 96 divisors (see below), whose sum is σ = 200116224. Its totient is φ = 18720000.

The previous prime is 66112021. The next prime is 66112063. The reversal of 66112032 is 23021166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87657 + ... + 88407.

It is an arithmetic number, because the mean of its divisors is an integer number (2084544).

Almost surely, 2^66112032 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 66112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100058112).

66112032 is an abundant number, since it is smaller than the sum of its proper divisors (134004192).

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

66112032 is a wasteful number, since it uses less digits than its factorization.

66112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 66112032 is about 8130.9305740487. The cubic root of 66112032 is about 404.3525335118.

Adding to 66112032 its reverse (23021166), we get a palindrome (89133198).

The spelling of 66112032 in words is "sixty-six million, one hundred twelve thousand, thirty-two".