58968972 has 60 divisors (see below), whose sum is σ = 158355120. Its totient is φ = 19121184.

The previous prime is 58968967. The next prime is 58968983. The reversal of 58968972 is 27986985.

It is a happy number.

58968972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9529 + ... + 14447.

It is an arithmetic number, because the mean of its divisors is an integer number (2639252).

Almost surely, 2^58968972 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 58968972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79177560).

58968972 is an abundant number, since it is smaller than the sum of its proper divisors (99386148).

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

58968972 is a wasteful number, since it uses less digits than its factorization.

58968972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4961 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 58968972 is about 7679.1257314879. The cubic root of 58968972 is about 389.2313856135.

The spelling of 58968972 in words is "fifty-eight million, nine hundred sixty-eight thousand, nine hundred seventy-two".