742512 has 40 divisors (see below), whose sum is σ = 1984000. Its totient is φ = 239040.

The previous prime is 742507. The next prime is 742513. The reversal of 742512 is 215247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742513) by changing a digit.

742512 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 7 ways as a sum of consecutive naturals, for example, 1239 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (49600).

2⁷⁴²⁵¹² 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 742512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992000).

742512 is an abundant number, since it is smaller than the sum of its proper divisors (1241488).

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

742512 is a wasteful number, since it uses less digits than its factorization.

742512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 742512 is about 861.6913600588. The cubic root of 742512 is about 90.5526488724.

Adding to 742512 its reverse (215247), we get a palindrome (957759).

The spelling of 742512 in words is "seven hundred forty-two thousand, five hundred twelve".