153792 has 56 divisors (see below), whose sum is σ = 457200. Its totient is φ = 50688.

The previous prime is 153763. The next prime is 153817. The reversal of 153792 is 297351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1684 + ... + 1772.

153792 is a Friedman number, since it can be written as (7+5)^3*(91-2), using all its digits and the basic arithmetic operations.

2¹⁵³⁷⁹² is an apocalyptic number.

153792 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 153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228600).

153792 is an abundant number, since it is smaller than the sum of its proper divisors (303408).

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

153792 is an equidigital number, since it uses as much as digits as its factorization.

153792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 153792 is about 392.1632313208. The cubic root of 153792 is about 53.5769411470.

The spelling of 153792 in words is "one hundred fifty-three thousand, seven hundred ninety-two".