58672432 has 80 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 22784256.

The previous prime is 58672421. The next prime is 58672433. The reversal of 58672432 is 23427685.

It is a junction number, because it is equal to n+sod(n) for n = 58672391 and 58672400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58672433) 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, 85563 + ... + 86245.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^58672432 is an apocalyptic number.

58672432 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 58672432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

58672432 is an abundant number, since it is smaller than the sum of its proper divisors (83818448).

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

58672432 is a wasteful number, since it uses less digits than its factorization.

58672432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 58672432 is about 7659.7932086970. The cubic root of 58672432 is about 388.5778402509.

It can be divided in two parts, 586724 and 32, that added together give a square (586756 = 766²).

The spelling of 58672432 in words is "fifty-eight million, six hundred seventy-two thousand, four hundred thirty-two".