742566528 has 320 divisors, whose sum is σ = 2559237120. Its totient is φ = 211230720.

The previous prime is 742566497. The next prime is 742566541. The reversal of 742566528 is 825665247.

742566528 is a `hidden beast` number, since 74 + 2 + 56 + 6 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1938625 + ... + 1939007.

It is an arithmetic number, because the mean of its divisors is an integer number (7997616).

Almost surely, 2^742566528 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 742566528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279618560).

742566528 is an abundant number, since it is smaller than the sum of its proper divisors (1816670592).

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

742566528 is a wasteful number, since it uses less digits than its factorization.

742566528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 742566528 is about 27250.0739081567. The cubic root of 742566528 is about 905.5486546241.

The spelling of 742566528 in words is "seven hundred forty-two million, five hundred sixty-six thousand, five hundred twenty-eight".