59472000 has 384 divisors, whose sum is σ = 248227200. Its totient is φ = 13363200.

The previous prime is 59471999. The next prime is 59472067. The reversal of 59472000 is 27495.

59472000 is a `hidden beast` number, since 594 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007971 + ... + 1008029.

It is an arithmetic number, because the mean of its divisors is an integer number (646425).

Almost surely, 2^59472000 is an apocalyptic number.

59472000 is a gapful number since it is divisible by the number (50) 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 59472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124113600).

59472000 is an abundant number, since it is smaller than the sum of its proper divisors (188755200).

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

59472000 is a wasteful number, since it uses less digits than its factorization.

59472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

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

The square root of 59472000 is about 7711.8091262686. The cubic root of 59472000 is about 390.3350178504.

Adding to 59472000 its reverse (27495), we get a palindrome (59499495).

The spelling of 59472000 in words is "fifty-nine million, four hundred seventy-two thousand".