59805072 has 60 divisors (see below), whose sum is σ = 168292800. Its totient is φ = 19825344.

The previous prime is 59805049. The next prime is 59805073. The reversal of 59805072 is 27050895.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59805073) 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, 27613 + ... + 29699.

It is an arithmetic number, because the mean of its divisors is an integer number (2804880).

Almost surely, 2^59805072 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 59805072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84146400).

59805072 is an abundant number, since it is smaller than the sum of its proper divisors (108487728).

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

59805072 is a wasteful number, since it uses less digits than its factorization.

59805072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 59805072 is about 7733.3739079395. The cubic root of 59805072 is about 391.0623501060.

The spelling of 59805072 in words is "fifty-nine million, eight hundred five thousand, seventy-two".