10072367280 has 320 divisors, whose sum is σ = 35697715200. Its totient is φ = 2609418240.

The previous prime is 10072367233. The next prime is 10072367311. The reversal of 10072367280 is 8276327001.

10072367280 is a `hidden beast` number, since 10 + 0 + 7 + 2 + 367 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11432440 + ... + 11433320.

It is an arithmetic number, because the mean of its divisors is an integer number (111555360).

Almost surely, 2^10072367280 is an apocalyptic number.

10072367280 is a gapful number since it is divisible by the number (10) 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 10072367280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848857600).

10072367280 is an abundant number, since it is smaller than the sum of its proper divisors (25625347920).

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

10072367280 is a wasteful number, since it uses less digits than its factorization.

10072367280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10072367280 in words is "ten billion, seventy-two million, three hundred sixty-seven thousand, two hundred eighty".