742492320 has 192 divisors, whose sum is σ = 2432457216. Its totient is φ = 190218240.

The previous prime is 742492319. The next prime is 742492327. The reversal of 742492320 is 23294247.

It is not an unprimeable number, because it can be changed into a prime (742492327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722505 + ... + 1722935.

It is an arithmetic number, because the mean of its divisors is an integer number (12669048).

Almost surely, 2^742492320 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 742492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216228608).

742492320 is an abundant number, since it is smaller than the sum of its proper divisors (1689964896).

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

742492320 is a wasteful number, since it uses less digits than its factorization.

742492320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 742492320 is about 27248.7122631511. The cubic root of 742492320 is about 905.5184884411.

The spelling of 742492320 in words is "seven hundred forty-two million, four hundred ninety-two thousand, three hundred twenty".