58272480 has 384 divisors, whose sum is σ = 243855360. Its totient is φ = 12718080.

The previous prime is 58272463. The next prime is 58272491. The reversal of 58272480 is 8427285.

58272480 = 246² + 247² + ... + 574².

It is a happy number.

58272480 is a `hidden beast` number, since 582 + 72 + 4 + 8 + 0 = 666.

58272480 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 (36).

It is a zygodrome in base 3.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1239817 + ... + 1239863.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^58272480 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 58272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

58272480 is an abundant number, since it is smaller than the sum of its proper divisors (185582880).

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

58272480 is a wasteful number, since it uses less digits than its factorization.

58272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 58272480 is about 7633.6413329420. The cubic root of 58272480 is about 387.6928876670.

The spelling of 58272480 in words is "fifty-eight million, two hundred seventy-two thousand, four hundred eighty".