58296672 has 288 divisors, whose sum is σ = 212012640. Its totient is φ = 15676416.

The previous prime is 58296659. The next prime is 58296701. The reversal of 58296672 is 27669285.

58296672 is a `hidden beast` number, since 582 + 9 + 6 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429208 + ... + 3429224.

It is an arithmetic number, because the mean of its divisors is an integer number (736155).

Almost surely, 2^58296672 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 58296672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106006320).

58296672 is an abundant number, since it is smaller than the sum of its proper divisors (153715968).

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

58296672 is an equidigital number, since it uses as much as digits as its factorization.

58296672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 58296672 is about 7635.2257334017. The cubic root of 58296672 is about 387.7465308775.

The spelling of 58296672 in words is "fifty-eight million, two hundred ninety-six thousand, six hundred seventy-two".