742358125 has 40 divisors (see below), whose sum is σ = 992775960. Its totient is φ = 552960000.

The previous prime is 742358117. The next prime is 742358131. The reversal of 742358125 is 521853247.

It can be written as a sum of positive squares in 20 ways, for example, as 511257321 + 231100804 = 22611^2 + 15202^2 .

It is not a de Polignac number, because 742358125 - 2³ = 742358117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1157805 + ... + 1158445.

It is an arithmetic number, because the mean of its divisors is an integer number (24819399).

Almost surely, 2^742358125 is an apocalyptic number.

It is an amenable number.

742358125 is a deficient number, since it is larger than the sum of its proper divisors (250417835).

742358125 is a wasteful number, since it uses less digits than its factorization.

742358125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 772 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 742358125 is about 27246.2497419370. The cubic root of 742358125 is about 905.4639319284.

The spelling of 742358125 in words is "seven hundred forty-two million, three hundred fifty-eight thousand, one hundred twenty-five".