742503762 has 288 divisors, whose sum is σ = 2282716800. Its totient is φ = 171884160.

The previous prime is 742503721. The next prime is 742503787. The reversal of 742503762 is 267305247.

It is a happy number.

It is a super-3 number, since 3×742503762³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 25603564 + ... + 25603592.

It is an arithmetic number, because the mean of its divisors is an integer number (7926100).

Almost surely, 2^742503762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742503762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141358400).

742503762 is an abundant number, since it is smaller than the sum of its proper divisors (1540213038).

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

742503762 is a wasteful number, since it uses less digits than its factorization.

742503762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 742503762 is about 27248.9222172181. The cubic root of 742503762 is about 905.5231398425.

The spelling of 742503762 in words is "seven hundred forty-two million, five hundred three thousand, seven hundred sixty-two".