147286272 has 72 divisors (see below), whose sum is σ = 448012096. Its totient is φ = 42080256.

The previous prime is 147286267. The next prime is 147286277. The reversal of 147286272 is 272682741.

It is an interprime number because it is at equal distance from previous prime (147286267) and next prime (147286277).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 147286272.

It is not an unprimeable number, because it can be changed into a prime (147286277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8323 + ... + 19074.

Almost surely, 2^147286272 is an apocalyptic number.

147286272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147286272 is an abundant number, since it is smaller than the sum of its proper divisors (300725824).

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

147286272 is an equidigital number, since it uses as much as digits as its factorization.

147286272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27423 (or 27409 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 147286272 is about 12136.1555692072. The cubic root of 147286272 is about 528.1055803557.

The spelling of 147286272 in words is "one hundred forty-seven million, two hundred eighty-six thousand, two hundred seventy-two".