742872528 has 120 divisors (see below), whose sum is σ = 2231997768. Its totient is φ = 229810176.

The previous prime is 742872491. The next prime is 742872577. The reversal of 742872528 is 825278247.

742872528 is a `hidden beast` number, since 7 + 42 + 87 + 2 + 528 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204261264 + 538611264 = 14292^2 + 23208^2 .

It is a super-2 number, since 2×742872528² = 1103719185714221568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176626 + ... + 180782.

Almost surely, 2^742872528 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 742872528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115998884).

742872528 is an abundant number, since it is smaller than the sum of its proper divisors (1489125240).

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

742872528 is a wasteful number, since it uses less digits than its factorization.

742872528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4252 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 742872528 is about 27255.6879935180. The cubic root of 742872528 is about 905.6730249999.

The spelling of 742872528 in words is "seven hundred forty-two million, eight hundred seventy-two thousand, five hundred twenty-eight".