742491792 has 80 divisors (see below), whose sum is σ = 2435697280. Its totient is φ = 212139648.

The previous prime is 742491767. The next prime is 742491797. The reversal of 742491792 is 297194247.

It is a happy number.

742491792 is a `hidden beast` number, since 74 + 2 + 491 + 7 + 92 = 666.

It is a super-2 number, since 2×742491792² = 1102588122374742528, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (742491797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119743 + ... + 125790.

It is an arithmetic number, because the mean of its divisors is an integer number (30446216).

Almost surely, 2^742491792 is an apocalyptic number.

742491792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

742491792 is an abundant number, since it is smaller than the sum of its proper divisors (1693205488).

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

742491792 is a wasteful number, since it uses less digits than its factorization.

742491792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245557 (or 245545 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 742491792 is about 27248.7025746181. The cubic root of 742491792 is about 905.5182737974.

The spelling of 742491792 in words is "seven hundred forty-two million, four hundred ninety-one thousand, seven hundred ninety-two".