147072224 has 96 divisors (see below), whose sum is σ = 328950720. Its totient is φ = 64253952.

The previous prime is 147072221. The next prime is 147072227. The reversal of 147072224 is 422270741.

It is an interprime number because it is at equal distance from previous prime (147072221) and next prime (147072227).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147072221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880589 + ... + 880755.

It is an arithmetic number, because the mean of its divisors is an integer number (3426570).

Almost surely, 2^147072224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147072224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164475360).

147072224 is an abundant number, since it is smaller than the sum of its proper divisors (181878496).

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

147072224 is a wasteful number, since it uses less digits than its factorization.

147072224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 147072224 is about 12127.3337547872. Note that the first 3 decimals coincide. The cubic root of 147072224 is about 527.8496281308.

The spelling of 147072224 in words is "one hundred forty-seven million, seventy-two thousand, two hundred twenty-four".