153472 has 32 divisors (see below), whose sum is σ = 336600. Its totient is φ = 69120.

The previous prime is 153469. The next prime is 153487. The reversal of 153472 is 274351.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1354 + ... + 1462.

153472 is a Friedman number, since it can be written as (7^4-3)*2^(5+1), using all its digits and the basic arithmetic operations.

2¹⁵³⁴⁷² 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 153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168300).

153472 is an abundant number, since it is smaller than the sum of its proper divisors (183128).

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

153472 is a wasteful number, since it uses less digits than its factorization.

153472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 153472 is about 391.7550254942. The cubic root of 153472 is about 53.5397555846.

It can be divided in two parts, 153 and 472, that added together give a 4-th power (625 = 5⁴).

The spelling of 153472 in words is "one hundred fifty-three thousand, four hundred seventy-two".