742516992 has 162 divisors, whose sum is σ = 2490766278. Its totient is φ = 212115456.

The previous prime is 742516987. The next prime is 742517003. The reversal of 742516992 is 299615247.

742516992 is a `hidden beast` number, since 7 + 42 + 516 + 9 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 1806336 = 27216^2 + 1344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109608 + ... + 116184.

Almost surely, 2^742516992 is an apocalyptic number.

742516992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245383139).

742516992 is an abundant number, since it is smaller than the sum of its proper divisors (1748249286).

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

742516992 is a wasteful number, since it uses less digits than its factorization.

742516992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6589 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 742516992 is about 27249.1649780319. The cubic root of 742516992 is about 905.5285180419.

The spelling of 742516992 in words is "seven hundred forty-two million, five hundred sixteen thousand, nine hundred ninety-two".