742362255072 has 336 divisors, whose sum is σ = 2221115904000. Its totient is φ = 244110350592.

The previous prime is 742362255043. The next prime is 742362255143. The reversal of 742362255072 is 270552263247.

742362255072 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 6 + 22 + 550 + 72 = 666.

It is a super-2 number, since 2×742362255072² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 580423329 + ... + 580424607.

It is an arithmetic number, because the mean of its divisors is an integer number (6610464000).

Almost surely, 2^742362255072 is an apocalyptic number.

742362255072 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 742362255072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110557952000).

742362255072 is an abundant number, since it is smaller than the sum of its proper divisors (1478753648928).

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

742362255072 is a wasteful number, since it uses less digits than its factorization.

742362255072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 742362255072 in words is "seven hundred forty-two billion, three hundred sixty-two million, two hundred fifty-five thousand, seventy-two".