59220072 has 96 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 19232640.

The previous prime is 59220071. The next prime is 59220079. The reversal of 59220072 is 27002295.

It is a happy number.

59220072 is a `hidden beast` number, since 592 + 2 + 0 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59220071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79333 + ... + 80075.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^59220072 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 59220072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

59220072 is an abundant number, since it is smaller than the sum of its proper divisors (111394008).

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

59220072 is a wasteful number, since it uses less digits than its factorization.

59220072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 789 counting only the distinct ones).

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

The square root of 59220072 is about 7695.4578811140. The cubic root of 59220072 is about 389.7830746307.

The spelling of 59220072 in words is "fifty-nine million, two hundred twenty thousand, seventy-two".