1801075672 has 64 divisors (see below), whose sum is σ = 3727785600. Its totient is φ = 809015040.

The previous prime is 1801075667. The next prime is 1801075687. The reversal of 1801075672 is 2765701081.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4403404 + ... + 4403812.

It is an arithmetic number, because the mean of its divisors is an integer number (58246650).

Almost surely, 2^1801075672 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 1801075672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863892800).

1801075672 is an abundant number, since it is smaller than the sum of its proper divisors (1926709928).

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

1801075672 is a wasteful number, since it uses less digits than its factorization.

1801075672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 1801075672 is about 42439.0818939336. The cubic root of 1801075672 is about 1216.6826639877.

The spelling of 1801075672 in words is "one billion, eight hundred one million, seventy-five thousand, six hundred seventy-two".