58720068 has 72 divisors (see below), whose sum is σ = 164062080. Its totient is φ = 17559360.

The previous prime is 58720063. The next prime is 58720097. The reversal of 58720068 is 86002785.

It is a super-4 number, since 4×58720068⁴ (a number of 32 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (58720063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30346 + ... + 32222.

It is an arithmetic number, because the mean of its divisors is an integer number (2278640).

Almost surely, 2^58720068 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 58720068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82031040).

58720068 is an abundant number, since it is smaller than the sum of its proper divisors (105342012).

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

58720068 is a wasteful number, since it uses less digits than its factorization.

58720068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 58720068 is about 7662.9020612298. The cubic root of 58720068 is about 388.6829735940.

The spelling of 58720068 in words is "fifty-eight million, seven hundred twenty thousand, sixty-eight".