133578072 has 48 divisors (see below), whose sum is σ = 375178440. Its totient is φ = 44525376.

The previous prime is 133578001. The next prime is 133578077. The reversal of 133578072 is 270875331.

133578072 is a `hidden beast` number, since 13 + 3 + 578 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133578077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32413 + ... + 36300.

Almost surely, 2^133578072 is an apocalyptic number.

133578072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133578072 is an abundant number, since it is smaller than the sum of its proper divisors (241600368).

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

133578072 is an equidigital number, since it uses as much as digits as its factorization.

133578072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68734 (or 68718 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 133578072 is about 11557.5980203501. The cubic root of 133578072 is about 511.1853397899.

The spelling of 133578072 in words is "one hundred thirty-three million, five hundred seventy-eight thousand, seventy-two".