872731440 has 240 divisors, whose sum is σ = 3428375808. Its totient is φ = 194793984.

The previous prime is 872731429. The next prime is 872731441. The reversal of 872731440 is 44137278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 872731395 and 872731404.

It is not an unprimeable number, because it can be changed into a prime (872731441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214707 + ... + 218733.

Almost surely, 2^872731440 is an apocalyptic number.

872731440 is a gapful number since it is divisible by the number (80) 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 872731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714187904).

872731440 is an abundant number, since it is smaller than the sum of its proper divisors (2555644368).

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

872731440 is a wasteful number, since it uses less digits than its factorization.

872731440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4087 counting only the distinct ones).

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

The square root of 872731440 is about 29542.0283663800. The cubic root of 872731440 is about 955.6382856882.

The spelling of 872731440 in words is "eight hundred seventy-two million, seven hundred thirty-one thousand, four hundred forty".