742551920 has 160 divisors (see below), whose sum is σ = 2008800000. Its totient is φ = 252426240.

The previous prime is 742551917. The next prime is 742551937. The reversal of 742551920 is 29155247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487831 + ... + 1488329.

It is an arithmetic number, because the mean of its divisors is an integer number (12555000).

Almost surely, 2^742551920 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 742551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400000).

742551920 is an abundant number, since it is smaller than the sum of its proper divisors (1266248080).

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

742551920 is a wasteful number, since it uses less digits than its factorization.

742551920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 742551920 is about 27249.8058708681. The cubic root of 742551920 is about 905.5427165067.

The spelling of 742551920 in words is "seven hundred forty-two million, five hundred fifty-one thousand, nine hundred twenty".