742073136 has 80 divisors (see below), whose sum is σ = 2195692800. Its totient is φ = 211555584.

The previous prime is 742073131. The next prime is 742073161. The reversal of 742073136 is 631370247.

It is a junction number, because it is equal to n+sod(n) for n = 742073097 and 742073106.

It is not an unprimeable number, because it can be changed into a prime (742073131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168855 + ... + 173193.

It is an arithmetic number, because the mean of its divisors is an integer number (27446160).

Almost surely, 2^742073136 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 742073136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097846400).

742073136 is an abundant number, since it is smaller than the sum of its proper divisors (1453619664).

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

742073136 is a wasteful number, since it uses less digits than its factorization.

742073136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 742073136 is about 27241.0193641868. The cubic root of 742073136 is about 905.3480488256.

The spelling of 742073136 in words is "seven hundred forty-two million, seventy-three thousand, one hundred thirty-six".