58735872 has 216 divisors, whose sum is σ = 190840104. Its totient is φ = 17252352.

The previous prime is 58735871. The next prime is 58735877. The reversal of 58735872 is 27853785.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 43243776 = 3936^2 + 6576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58735871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108198 + ... + 1108250.

It is an arithmetic number, because the mean of its divisors is an integer number (883519).

Almost surely, 2^58735872 is an apocalyptic number.

58735872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95420052).

58735872 is an abundant number, since it is smaller than the sum of its proper divisors (132104232).

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

58735872 is a wasteful number, since it uses less digits than its factorization.

58735872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 58735872 is about 7663.9331938633. The cubic root of 58735872 is about 388.7178406898.

The spelling of 58735872 in words is "fifty-eight million, seven hundred thirty-five thousand, eight hundred seventy-two".