59472 has 60 divisors (see below), whose sum is σ = 193440. Its totient is φ = 16704.

The previous prime is 59471. The next prime is 59473. The reversal of 59472 is 27495.

59472 is a `hidden beast` number, since 594 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (59471) and next prime (59473).

It is an Ulam number.

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 (59471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 979 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2⁵⁹⁴⁷² 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 59472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96720).

59472 is an abundant number, since it is smaller than the sum of its proper divisors (133968).

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

59472 is a wasteful number, since it uses less digits than its factorization.

59472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 59472 is about 243.8688171948. The cubic root of 59472 is about 39.0335017850.

It can be divided in two parts, 594 and 72, that added together give a palindrome (666).

The spelling of 59472 in words is "fifty-nine thousand, four hundred seventy-two".