56472 has 32 divisors (see below), whose sum is σ = 152880. Its totient is φ = 17280.

The previous prime is 56467. The next prime is 56473. The reversal of 56472 is 27465.

It is a happy number.

56472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 402.

2⁵⁶⁴⁷² is an apocalyptic number.

56472 is a gapful number since it is divisible by the number (52) 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 56472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

56472 is an abundant number, since it is smaller than the sum of its proper divisors (96408).

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

56472 is a wasteful number, since it uses less digits than its factorization.

56472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 56472 is about 237.6383807385. The cubic root of 56472 is about 38.3658115842.

It can be divided in two parts, 564 and 72, that added together give a palindrome (636).

The spelling of 56472 in words is "fifty-six thousand, four hundred seventy-two".