58347072 has 168 divisors, whose sum is σ = 198120000. Its totient is φ = 16063488.

The previous prime is 58347071. The next prime is 58347073. The reversal of 58347072 is 27074385.

58347072 is a `hidden beast` number, since 583 + 4 + 7 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (58347071) and next prime (58347073).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (58347071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116679 + ... + 117177.

Almost surely, 2^58347072 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 58347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99060000).

58347072 is an abundant number, since it is smaller than the sum of its proper divisors (139772928).

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

58347072 is a wasteful number, since it uses less digits than its factorization.

58347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 58347072 is about 7638.5255121653. The cubic root of 58347072 is about 387.8582399192.

The spelling of 58347072 in words is "fifty-eight million, three hundred forty-seven thousand, seventy-two".