481572 has 96 divisors (see below), whose sum is σ = 1568000. Its totient is φ = 127008.

The previous prime is 481571. The next prime is 481577. The reversal of 481572 is 275184.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (481571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37038 + ... + 37050.

2⁴⁸¹⁵⁷² is an apocalyptic number.

481572 is a gapful number since it is divisible by the number (42) 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 481572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784000).

481572 is an abundant number, since it is smaller than the sum of its proper divisors (1086428).

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

481572 is a wasteful number, since it uses less digits than its factorization.

481572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 25 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 481572 is about 693.9538889580. The cubic root of 481572 is about 78.3827342932.

The spelling of 481572 in words is "four hundred eighty-one thousand, five hundred seventy-two".