742968072 has 384 divisors, whose sum is σ = 2696601600. Its totient is φ = 185328000.

The previous prime is 742968059. The next prime is 742968073. The reversal of 742968072 is 270869247.

It is a super-2 number, since 2×742968072² = 1104003112022794368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (742968073) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5671447 + ... + 5671577.

It is an arithmetic number, because the mean of its divisors is an integer number (7022400).

Almost surely, 2^742968072 is an apocalyptic number.

742968072 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 742968072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348300800).

742968072 is an abundant number, since it is smaller than the sum of its proper divisors (1953633528).

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

742968072 is a wasteful number, since it uses less digits than its factorization.

742968072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 742968072 is about 27257.4406722275. The cubic root of 742968072 is about 905.7118508238.

The spelling of 742968072 in words is "seven hundred forty-two million, nine hundred sixty-eight thousand, seventy-two".