58918272 has 128 divisors (see below), whose sum is σ = 186831360. Its totient is φ = 16084992.

The previous prime is 58918247. The next prime is 58918273. The reversal of 58918272 is 27281985.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58918273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61348 + ... + 62300.

It is an arithmetic number, because the mean of its divisors is an integer number (1459620).

Almost surely, 2^58918272 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 58918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93415680).

58918272 is an abundant number, since it is smaller than the sum of its proper divisors (127913088).

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

58918272 is a wasteful number, since it uses less digits than its factorization.

58918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 988 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 58918272 is about 7675.8238645764. The cubic root of 58918272 is about 389.1198032627.

The spelling of 58918272 in words is "fifty-eight million, nine hundred eighteen thousand, two hundred seventy-two".