147392 has 42 divisors (see below), whose sum is σ = 347472. Its totient is φ = 61824.

The previous prime is 147391. The next prime is 147397. The reversal of 147392 is 293741.

147392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

Its product of digits (1512) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147392.

It is not an unprimeable number, because it can be changed into a prime (147391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3113 + ... + 3159.

2¹⁴⁷³⁹² 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 147392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173736).

147392 is an abundant number, since it is smaller than the sum of its proper divisors (200080).

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

147392 is an equidigital number, since it uses as much as digits as its factorization.

147392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 147392 is about 383.9166576225. The cubic root of 147392 is about 52.8231915261.

It can be divided in two parts, 14739 and 2, that added together give a palindrome (14741).

The spelling of 147392 in words is "one hundred forty-seven thousand, three hundred ninety-two".