1841769072 has 360 divisors, whose sum is σ = 6267223872. Its totient is φ = 501304320.

The previous prime is 1841769053. The next prime is 1841769073. The reversal of 1841769072 is 2709671481.

It is a happy number.

1841769072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1841769072² = 6784226629151482368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1841769073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10645978 + ... + 10646150.

Almost surely, 2^1841769072 is an apocalyptic number.

1841769072 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 1841769072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133611936).

1841769072 is an abundant number, since it is smaller than the sum of its proper divisors (4425454800).

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

1841769072 is a wasteful number, since it uses less digits than its factorization.

1841769072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1841769072 is about 42915.8370767716. The cubic root of 1841769072 is about 1225.7777256542. Note that the first 4 decimals are identical.

The spelling of 1841769072 in words is "one billion, eight hundred forty-one million, seven hundred sixty-nine thousand, seventy-two".