5958072 has 48 divisors (see below), whose sum is σ = 16347240. Its totient is φ = 1960128.

The previous prime is 5958067. The next prime is 5958089. The reversal of 5958072 is 2708595.

5958072 is a `hidden beast` number, since 5 + 9 + 580 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5478 + ... + 6474.

Almost surely, 2^5958072 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 5958072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173620).

5958072 is an abundant number, since it is smaller than the sum of its proper divisors (10389168).

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

5958072 is a wasteful number, since it uses less digits than its factorization.

5958072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5958072 is about 2440.9162214218. The cubic root of 5958072 is about 181.2878015488.

The spelling of 5958072 in words is "five million, nine hundred fifty-eight thousand, seventy-two".