872202240 has 540 divisors, whose sum is σ = 3741729264. Its totient is φ = 184025088.

The previous prime is 872202229. The next prime is 872202241. The reversal of 872202240 is 42202278.

It is a super-2 number, since 2×872202240² = 1521473494922035200, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (872202241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67092474 + ... + 67092486.

Almost surely, 2^872202240 is an apocalyptic number.

872202240 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 872202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870864632).

872202240 is an abundant number, since it is smaller than the sum of its proper divisors (2869527024).

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

872202240 is a wasteful number, since it uses less digits than its factorization.

872202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 872202240 is about 29533.0702772333. The cubic root of 872202240 is about 955.4450891671.

The spelling of 872202240 in words is "eight hundred seventy-two million, two hundred two thousand, two hundred forty".