742129536 has 64 divisors (see below), whose sum is σ = 1978681680. Its totient is φ = 246448128.

The previous prime is 742129529. The next prime is 742129537. The reversal of 742129536 is 635921247.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 742129494 and 742129503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742129537) 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 7 ways as a sum of consecutive naturals, for example, 102880 + ... + 109856.

Almost surely, 2^742129536 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 742129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989340840).

742129536 is an abundant number, since it is smaller than the sum of its proper divisors (1236552144).

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

742129536 is a wasteful number, since it uses less digits than its factorization.

742129536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7259 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 742129536 is about 27242.0545480696. The cubic root of 742129536 is about 905.3709847214.

The spelling of 742129536 in words is "seven hundred forty-two million, one hundred twenty-nine thousand, five hundred thirty-six".