59472144 has 100 divisors (see below), whose sum is σ = 174121420. Its totient is φ = 19595520.

The previous prime is 59472143. The next prime is 59472157. The reversal of 59472144 is 44127495.

It is a happy number.

59472144 is a `hidden beast` number, since 594 + 7 + 21 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 44355600 = 3888^2 + 6660^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59472099 and 59472108.

It is not an unprimeable number, because it can be changed into a prime (59472143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141054 + ... + 141474.

Almost surely, 2^59472144 is an apocalyptic number.

59472144 is a gapful number since it is divisible by the number (54) 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 59472144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87060710).

59472144 is an abundant number, since it is smaller than the sum of its proper divisors (114649276).

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

59472144 is a wasteful number, since it uses less digits than its factorization.

59472144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 535 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 59472144 is about 7711.8184625936. The cubic root of 59472144 is about 390.3353328906.

The spelling of 59472144 in words is "fifty-nine million, four hundred seventy-two thousand, one hundred forty-four".