132051072 has 64 divisors (see below), whose sum is σ = 362108160. Its totient is φ = 42593280.

The previous prime is 132051071. The next prime is 132051089. The reversal of 132051072 is 270150231.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (132051071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6358 + ... + 17450.

It is an arithmetic number, because the mean of its divisors is an integer number (5657940).

Almost surely, 2^132051072 is an apocalyptic number.

132051072 is a gapful number since it is divisible by the number (12) 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 132051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181054080).

132051072 is an abundant number, since it is smaller than the sum of its proper divisors (230057088).

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

132051072 is a wasteful number, since it uses less digits than its factorization.

132051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11141 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 132051072 is about 11491.3477016406. The cubic root of 132051072 is about 509.2299952690.

The spelling of 132051072 in words is "one hundred thirty-two million, fifty-one thousand, seventy-two".