1817979072 has 224 divisors, whose sum is σ = 6012314112. Its totient is φ = 472006656.

The previous prime is 1817979067. The next prime is 1817979077. The reversal of 1817979072 is 2709797181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1817979067) and next prime (1817979077).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1817979077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169848 + ... + 1171400.

It is an arithmetic number, because the mean of its divisors is an integer number (26840688).

Almost surely, 2^1817979072 is an apocalyptic number.

1817979072 is a gapful number since it is divisible by the number (12) 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 1817979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006157056).

1817979072 is an abundant number, since it is smaller than the sum of its proper divisors (4194335040).

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

1817979072 is a wasteful number, since it uses less digits than its factorization.

1817979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 51.

The square root of 1817979072 is about 42637.7657951258. The cubic root of 1817979072 is about 1220.4770758019.

The spelling of 1817979072 in words is "one billion, eight hundred seventeen million, nine hundred seventy-nine thousand, seventy-two".