133296072 has 96 divisors (see below), whose sum is σ = 417513600. Its totient is φ = 35150976.

The previous prime is 133296071. The next prime is 133296073. The reversal of 133296072 is 270692331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133296071) and next prime (133296073).

It is not an unprimeable number, because it can be changed into a prime (133296071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10929 + ... + 19647.

It is an arithmetic number, because the mean of its divisors is an integer number (4349100).

Almost surely, 2^133296072 is an apocalyptic number.

133296072 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 133296072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208756800).

133296072 is an abundant number, since it is smaller than the sum of its proper divisors (284217528).

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

133296072 is a wasteful number, since it uses less digits than its factorization.

133296072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 133296072 is about 11545.3918079899. The cubic root of 133296072 is about 510.8253609766.

The spelling of 133296072 in words is "one hundred thirty-three million, two hundred ninety-six thousand, seventy-two".