742107127392 has 72 divisors (see below), whose sum is σ = 2111568338880. Its totient is φ = 247228243200.

The previous prime is 742107127381. The next prime is 742107127423. The reversal of 742107127392 is 293721701247.

742107127392 is a `hidden beast` number, since 7 + 421 + 0 + 71 + 2 + 73 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×742107127392² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225859 + ... + 1239042.

It is an arithmetic number, because the mean of its divisors is an integer number (29327338040).

Almost surely, 2^742107127392 is an apocalyptic number.

742107127392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

742107127392 is an abundant number, since it is smaller than the sum of its proper divisors (1369461211488).

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

742107127392 is a wasteful number, since it uses less digits than its factorization.

742107127392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466676 (or 1466665 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 742107127392 in words is "seven hundred forty-two billion, one hundred seven million, one hundred twenty-seven thousand, three hundred ninety-two".