147735072 has 72 divisors (see below), whose sum is σ = 438407424. Its totient is φ = 47101824.

The previous prime is 147735041. The next prime is 147735073. The reversal of 147735072 is 270537741.

147735072 is a `hidden beast` number, since 147 + 7 + 3 + 507 + 2 = 666.

147735072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (147735073) 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, 4528 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (6088992).

Almost surely, 2^147735072 is an apocalyptic number.

147735072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147735072 is an abundant number, since it is smaller than the sum of its proper divisors (290672352).

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

147735072 is a wasteful number, since it uses less digits than its factorization.

147735072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22342 (or 22331 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 147735072 is about 12154.6317097640. The cubic root of 147735072 is about 528.6414380676.

The spelling of 147735072 in words is "one hundred forty-seven million, seven hundred thirty-five thousand, seventy-two".