58672500 has 60 divisors (see below), whose sum is σ = 171095232. Its totient is φ = 15644000.

The previous prime is 58672477. The next prime is 58672507. The reversal of 58672500 is 527685.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58672507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3589 + ... + 11411.

Almost surely, 2^58672500 is an apocalyptic number.

58672500 is a gapful number since it is divisible by the number (50) 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 58672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85547616).

58672500 is an abundant number, since it is smaller than the sum of its proper divisors (112422732).

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

58672500 is a wasteful number, since it uses less digits than its factorization.

58672500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 58672500 is about 7659.7976474578. The cubic root of 58672500 is about 388.5779903685.

The spelling of 58672500 in words is "fifty-eight million, six hundred seventy-two thousand, five hundred".