58457072 has 40 divisors (see below), whose sum is σ = 123087360. Its totient is φ = 26792640.

The previous prime is 58457071. The next prime is 58457107. The reversal of 58457072 is 27075485.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58457071) 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 7 ways as a sum of consecutive naturals, for example, 6323 + ... + 12525.

It is an arithmetic number, because the mean of its divisors is an integer number (3077184).

Almost surely, 2^58457072 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 58457072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61543680).

58457072 is an abundant number, since it is smaller than the sum of its proper divisors (64630288).

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

58457072 is a wasteful number, since it uses less digits than its factorization.

58457072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 58457072 is about 7645.7224642280. The cubic root of 58457072 is about 388.1018261105.

The spelling of 58457072 in words is "fifty-eight million, four hundred fifty-seven thousand, seventy-two".