147933072 has 120 divisors (see below), whose sum is σ = 484296384. Its totient is φ = 41271552.

The previous prime is 147933061. The next prime is 147933077. The reversal of 147933072 is 270339741.

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 (147933077) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41638 + ... + 45050.

Almost surely, 2^147933072 is an apocalyptic number.

147933072 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 147933072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242148192).

147933072 is an abundant number, since it is smaller than the sum of its proper divisors (336363312).

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

147933072 is a wasteful number, since it uses less digits than its factorization.

147933072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 147933072 is about 12162.7740256900. The cubic root of 147933072 is about 528.8775008990.

The spelling of 147933072 in words is "one hundred forty-seven million, nine hundred thirty-three thousand, seventy-two".