58506672 has 160 divisors (see below), whose sum is σ = 183988224. Its totient is φ = 15667200.

The previous prime is 58506671. The next prime is 58506677. The reversal of 58506672 is 27660585.

58506672 = T₁₃₃ + T₁₃₄ + ... + T₇₀₆.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58506672.

It is not an unprimeable number, because it can be changed into a prime (58506671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426988 + ... + 427124.

Almost surely, 2^58506672 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 58506672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91994112).

58506672 is an abundant number, since it is smaller than the sum of its proper divisors (125481552).

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

58506672 is a wasteful number, since it uses less digits than its factorization.

58506672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 58506672 is about 7648.9654202382. The cubic root of 58506672 is about 388.2115613862.

The spelling of 58506672 in words is "fifty-eight million, five hundred six thousand, six hundred seventy-two".