146472 has 32 divisors (see below), whose sum is σ = 388800. Its totient is φ = 45824.

The previous prime is 146449. The next prime is 146477. The reversal of 146472 is 274641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (146477) by changing a digit.

146472 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, 229 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁴⁶⁴⁷² is an apocalyptic number.

146472 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 146472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

146472 is an abundant number, since it is smaller than the sum of its proper divisors (242328).

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

146472 is a wasteful number, since it uses less digits than its factorization.

146472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 146472 is about 382.7166053361. The cubic root of 146472 is about 52.7130570981.

The spelling of 146472 in words is "one hundred forty-six thousand, four hundred seventy-two".