10371840072 has 128 divisors (see below), whose sum is σ = 28581880320. Its totient is φ = 3110400000.

The previous prime is 10371840071. The next prime is 10371840077. The reversal of 10371840072 is 27004817301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10371840071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12788547 + ... + 12789357.

It is an arithmetic number, because the mean of its divisors is an integer number (223295940).

Almost surely, 2^10371840072 is an apocalyptic number.

10371840072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10371840072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290940160).

10371840072 is an abundant number, since it is smaller than the sum of its proper divisors (18210040248).

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

10371840072 is a wasteful number, since it uses less digits than its factorization.

10371840072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 10371840072 in words is "ten billion, three hundred seventy-one million, eight hundred forty thousand, seventy-two".