1072247800320 has 480 divisors, whose sum is σ = 3965544760320. Its totient is φ = 267162255360.

The previous prime is 1072247800319. The next prime is 1072247800343. The reversal of 1072247800320 is 230087422701.

1072247800320 is a `hidden beast` number, since 10 + 7 + 2 + 247 + 80 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1072247800320² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20687077 + ... + 20738843.

It is an arithmetic number, because the mean of its divisors is an integer number (8261551584).

Almost surely, 2^{1072247800320} is an apocalyptic number.

1072247800320 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 1072247800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982772380160).

1072247800320 is an abundant number, since it is smaller than the sum of its proper divisors (2893296960000).

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

1072247800320 is a wasteful number, since it uses less digits than its factorization.

1072247800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51856 (or 51837 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1072247800320 in words is "one trillion, seventy-two billion, two hundred forty-seven million, eight hundred thousand, three hundred twenty".