32442118272 has 128 divisors (see below), whose sum is σ = 96360787200. Its totient is φ = 10744980480.

The previous prime is 32442118237. The next prime is 32442118277. The reversal of 32442118272 is 27281124423.

32442118272 is a `hidden beast` number, since 32 + 442 + 1 + 182 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (32442118277) 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, 512697 + ... + 572487.

It is an arithmetic number, because the mean of its divisors is an integer number (752818650).

Almost surely, 2^32442118272 is an apocalyptic number.

32442118272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32442118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48180393600).

32442118272 is an abundant number, since it is smaller than the sum of its proper divisors (63918668928).

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

32442118272 is a wasteful number, since it uses less digits than its factorization.

32442118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59971 (or 59953 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 32442118272 in words is "thirty-two billion, four hundred forty-two million, one hundred eighteen thousand, two hundred seventy-two".