752742 has 48 divisors (see below), whose sum is σ = 1797120. Its totient is φ = 226800.

The previous prime is 752707. The next prime is 752747. The reversal of 752742 is 247257.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752747) by changing a digit.

752742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10567 + ... + 10637.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2⁷⁵²⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898560).

752742 is an abundant number, since it is smaller than the sum of its proper divisors (1044378).

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

752742 is a wasteful number, since it uses less digits than its factorization.

752742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

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

The square root of 752742 is about 867.6070539132. The cubic root of 752742 is about 90.9666181951.

Adding to 752742 its reverse (247257), we get a palindrome (999999).

It can be divided in two parts, 7527 and 42, that added together give a square (7569 = 87²).

The spelling of 752742 in words is "seven hundred fifty-two thousand, seven hundred forty-two".