147742272 has 112 divisors (see below), whose sum is σ = 437570880. Its totient is φ = 48881664.

The previous prime is 147742201. The next prime is 147742279. The reversal of 147742272 is 272247741.

It is a happy number.

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 (147742279) 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, 333283 + ... + 333725.

Almost surely, 2^147742272 is an apocalyptic number.

147742272 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 147742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218785440).

147742272 is an abundant number, since it is smaller than the sum of its proper divisors (289828608).

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

147742272 is a wasteful number, since it uses less digits than its factorization.

147742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 641 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 147742272 is about 12154.9278895434. The cubic root of 147742272 is about 528.6500258648.

The spelling of 147742272 in words is "one hundred forty-seven million, seven hundred forty-two thousand, two hundred seventy-two".