742752 has 36 divisors (see below), whose sum is σ = 2113020. Its totient is φ = 247488.

The previous prime is 742723. The next prime is 742757. The reversal of 742752 is 257247.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1002 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (58695).

2⁷⁴²⁷⁵² is an apocalyptic number.

742752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

742752 is an abundant number, since it is smaller than the sum of its proper divisors (1370268).

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

742752 is a wasteful number, since it uses less digits than its factorization.

742752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2584 counting only the distinct ones).

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

The square root of 742752 is about 861.8306098068. The cubic root of 742752 is about 90.5624041781.

Adding to 742752 its reverse (257247), we get a palindrome (999999).

The spelling of 742752 in words is "seven hundred forty-two thousand, seven hundred fifty-two".