157472 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 62208.

The previous prime is 157457. The next prime is 157477. The reversal of 157472 is 274751.

157472 is nontrivially palindromic in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (157477) by changing a digit.

157472 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4238 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

157472 is a Friedman number, since it can be written as 7*4*(75^2-1), using all its digits and the basic arithmetic operations.

2¹⁵⁷⁴⁷² 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 157472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

157472 is an abundant number, since it is smaller than the sum of its proper divisors (225568).

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

157472 is a wasteful number, since it uses less digits than its factorization.

157472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 157472 is about 396.8274184075. The cubic root of 157472 is about 54.0009144793. Note that the first 3 decimals are identical.

The spelling of 157472 in words is "one hundred fifty-seven thousand, four hundred seventy-two".