58060772 has 48 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 22432800.

The previous prime is 58060693. The next prime is 58060777. The reversal of 58060772 is 27706085.

It is a super-6 number, since 6×58060772⁶ (a number of 48 digits) contains 666666 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (58060777) 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, 39629 + ... + 41067.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^58060772 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 58060772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

58060772 is an abundant number, since it is smaller than the sum of its proper divisors (69672988).

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

58060772 is a wasteful number, since it uses less digits than its factorization.

58060772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 58060772 is about 7619.7619385385. The cubic root of 58060772 is about 387.2228127994. Note that the first 3 decimals are identical.

The spelling of 58060772 in words is "fifty-eight million, sixty thousand, seven hundred seventy-two".