817201872 has 100 divisors (see below), whose sum is σ = 2404225956. Its totient is φ = 267909120.

The previous prime is 817201867. The next prime is 817201877. The reversal of 817201872 is 278102718.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (817201867) and next prime (817201877).

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 786465936 = 5544^2 + 28044^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817201877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73888 + ... + 84224.

Almost surely, 2^817201872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817201872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202112978).

817201872 is an abundant number, since it is smaller than the sum of its proper divisors (1587024084).

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

817201872 is a wasteful number, since it uses less digits than its factorization.

817201872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 817201872 is about 28586.7429414405. The cubic root of 817201872 is about 934.9243066446.

The spelling of 817201872 in words is "eight hundred seventeen million, two hundred one thousand, eight hundred seventy-two".