132867072 has 132 divisors (see below), whose sum is σ = 413534940. Its totient is φ = 40845312.

The previous prime is 132867071. The next prime is 132867083. The reversal of 132867072 is 270768231.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 124010496 = 2976^2 + 11136^2 .

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 (132867071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119254 + ... + 120362.

Almost surely, 2^132867072 is an apocalyptic number.

132867072 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 132867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206767470).

132867072 is an abundant number, since it is smaller than the sum of its proper divisors (280667868).

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

132867072 is a wasteful number, since it uses less digits than its factorization.

132867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 132867072 is about 11526.7979942393. The cubic root of 132867072 is about 510.2767586671.

The spelling of 132867072 in words is "one hundred thirty-two million, eight hundred sixty-seven thousand, seventy-two".