1800002072 has 32 divisors (see below), whose sum is σ = 3689409600. Its totient is φ = 816496800.

The previous prime is 1800002053. The next prime is 1800002081. The reversal of 1800002072 is 2702000081.

1800002072 is a modest number, since divided by 2072 gives 1800 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22379 + ... + 64037.

It is an arithmetic number, because the mean of its divisors is an integer number (115294050).

Almost surely, 2^1800002072 is an apocalyptic number.

It is an amenable number.

1800002072 is an abundant number, since it is smaller than the sum of its proper divisors (1889407528).

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

1800002072 is a wasteful number, since it uses less digits than its factorization.

1800002072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42167 (or 42163 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1800002072 is about 42426.4312899400. The cubic root of 1800002072 is about 1216.4408658672.

The spelling of 1800002072 in words is "one billion, eight hundred million, two thousand, seventy-two".