132720672 has 192 divisors, whose sum is σ = 430424064. Its totient is φ = 34974720.

The previous prime is 132720667. The next prime is 132720691. The reversal of 132720672 is 276027231.

It is a super-2 number, since 2×132720672² = 35229553552263168, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 478998 + ... + 479274.

It is an arithmetic number, because the mean of its divisors is an integer number (2241792).

Almost surely, 2^132720672 is an apocalyptic number.

132720672 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 132720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215212032).

132720672 is an abundant number, since it is smaller than the sum of its proper divisors (297703392).

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

132720672 is a wasteful number, since it uses less digits than its factorization.

132720672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 132720672 is about 11520.4458247066. The cubic root of 132720672 is about 510.0892731074.

The spelling of 132720672 in words is "one hundred thirty-two million, seven hundred twenty thousand, six hundred seventy-two".