742993216 has 56 divisors (see below), whose sum is σ = 1724233280. Its totient is φ = 311012352.

The previous prime is 742993169. The next prime is 742993297. The reversal of 742993216 is 612399247.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 38548.

It is an arithmetic number, because the mean of its divisors is an integer number (30789880).

Almost surely, 2^742993216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862116640).

742993216 is an abundant number, since it is smaller than the sum of its proper divisors (981240064).

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

742993216 is a wasteful number, since it uses less digits than its factorization.

742993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38631 (or 38621 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 742993216 is about 27257.9019001830. The cubic root of 742993216 is about 905.7220679349.

The spelling of 742993216 in words is "seven hundred forty-two million, nine hundred ninety-three thousand, two hundred sixteen".