742121160 has 128 divisors (see below), whose sum is σ = 2456438400. Its totient is φ = 177858560.

The previous prime is 742121153. The next prime is 742121161. The reversal of 742121160 is 61121247.

It is a super-2 number, since 2×742121160² = 1101487632239491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 742121160.

It is not an unprimeable number, because it can be changed into a prime (742121161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114322 + ... + 120638.

It is an arithmetic number, because the mean of its divisors is an integer number (19190925).

Almost surely, 2^742121160 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 742121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228219200).

742121160 is an abundant number, since it is smaller than the sum of its proper divisors (1714317240).

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

742121160 is a wasteful number, since it uses less digits than its factorization.

742121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 742121160 is about 27241.9008147376. The cubic root of 742121160 is about 905.3675785704.

The spelling of 742121160 in words is "seven hundred forty-two million, one hundred twenty-one thousand, one hundred sixty".