742527 has 20 divisors (see below), whose sum is σ = 1132560. Its totient is φ = 484704.

The previous prime is 742519. The next prime is 742531. The reversal of 742527 is 725247.

It is not a de Polignac number, because 742527 - 2³ = 742519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 742527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742507) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7158 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (56628).

2⁷⁴²⁵²⁷ is an apocalyptic number.

742527 is a deficient number, since it is larger than the sum of its proper divisors (390033).

742527 is a wasteful number, since it uses less digits than its factorization.

742527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 742527 is about 861.7000638273. The cubic root of 742527 is about 90.5532586406.

It can be divided in two parts, 74 and 2527, that added together give a square (2601 = 51²).

The spelling of 742527 in words is "seven hundred forty-two thousand, five hundred twenty-seven".