147872 has 12 divisors (see below), whose sum is σ = 291186. Its totient is φ = 73920.

The previous prime is 147863. The next prime is 147881. The reversal of 147872 is 278741.

It is an interprime number because it is at equal distance from previous prime (147863) and next prime (147881).

It can be written as a sum of positive squares in only one way, i.e., 132496 + 15376 = 364^2 + 124^2 .

It is a super-2 number, since 2×147872² = 43732256768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147872.

It is an unprimeable number.

147872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2279 + ... + 2342.

2¹⁴⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

147872 is a deficient number, since it is larger than the sum of its proper divisors (143314).

147872 is an equidigital number, since it uses as much as digits as its factorization.

147872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4623 counting only the distinct ones).

The product of its digits is 3136, while the sum is 29.

The square root of 147872 is about 384.5412851697. The cubic root of 147872 is about 52.8804711107.

The spelling of 147872 in words is "one hundred forty-seven thousand, eight hundred seventy-two".