10742268072 has 32 divisors (see below), whose sum is σ = 26951258880. Its totient is φ = 3568010880.

The previous prime is 10742268029. The next prime is 10742268079. The reversal of 10742268072 is 27086224701.

It is a self number, because there is not a number n which added to its sum of digits gives 10742268072.

It is not an unprimeable number, because it can be changed into a prime (10742268079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789688 + ... + 803175.

It is an arithmetic number, because the mean of its divisors is an integer number (842226840).

Almost surely, 2^10742268072 is an apocalyptic number.

10742268072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10742268072 is an abundant number, since it is smaller than the sum of its proper divisors (16208990808).

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

10742268072 is a wasteful number, since it uses less digits than its factorization.

10742268072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593153 (or 1593149 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 10742268072 in words is "ten billion, seven hundred forty-two million, two hundred sixty-eight thousand, seventy-two".