147792 has 20 divisors (see below), whose sum is σ = 381920. Its totient is φ = 49248.

The previous prime is 147787. The next prime is 147793. The reversal of 147792 is 297741.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 147792.

It is not an unprimeable number, because it can be changed into a prime (147793) by changing a digit.

147792 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 in 3 ways as a sum of consecutive naturals, for example, 1492 + ... + 1587.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

2¹⁴⁷⁷⁹² is an apocalyptic number.

147792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147792 is an abundant number, since it is smaller than the sum of its proper divisors (234128).

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

147792 is a wasteful number, since it uses less digits than its factorization.

147792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 147792 is about 384.4372510567. The cubic root of 147792 is about 52.8709331301.

It can be divided in two parts, 147 and 792, that added together give a palindrome (939).

The spelling of 147792 in words is "one hundred forty-seven thousand, seven hundred ninety-two".