7258536 has 48 divisors (see below), whose sum is σ = 19942260. Its totient is φ = 2384640.

The previous prime is 7258519. The next prime is 7258571. The reversal of 7258536 is 6358527.

7258536 is a `hidden beast` number, since 72 + 58 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7257636 + 900 = 2694^2 + 30^2 .

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

7258536 is a modest number, since divided by 58536 gives 72 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 7258536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4566 + ... + 5946.

Almost surely, 2^7258536 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 7258536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971130).

7258536 is an abundant number, since it is smaller than the sum of its proper divisors (12683724).

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

7258536 is a wasteful number, since it uses less digits than its factorization.

7258536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1459 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 7258536 is about 2694.1670326838. The cubic root of 7258536 is about 193.6197604082.

Subtracting from 7258536 its reverse (6358527), we obtain a palindrome (900009).

It can be divided in two parts, 725 and 8536, that added together give a cube (9261 = 21³).

The spelling of 7258536 in words is "seven million, two hundred fifty-eight thousand, five hundred thirty-six".