742748832 has 192 divisors, whose sum is σ = 2497904640. Its totient is φ = 210325248.

The previous prime is 742748827. The next prime is 742748833. The reversal of 742748832 is 238847247.

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 (742748833) 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, 767613 + ... + 768579.

It is an arithmetic number, because the mean of its divisors is an integer number (13009920).

Almost surely, 2^742748832 is an apocalyptic number.

742748832 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 742748832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248952320).

742748832 is an abundant number, since it is smaller than the sum of its proper divisors (1755155808).

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

742748832 is a wasteful number, since it uses less digits than its factorization.

742748832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1106 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 742748832 is about 27253.4187213274. The cubic root of 742748832 is about 905.6227542177.

The spelling of 742748832 in words is "seven hundred forty-two million, seven hundred forty-eight thousand, eight hundred thirty-two".