1800720072 has 60 divisors (see below), whose sum is σ = 5046710955. Its totient is φ = 599879952.

The previous prime is 1800720059. The next prime is 1800720091. The reversal of 1800720072 is 2700270081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1800720072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 900360036 + 900360036 = 30006^2 + 30006^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=30006.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1079383 + ... + 1081049.

Almost surely, 2^1800720072 is an apocalyptic number.

1800720072 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 1800720072

1800720072 is an abundant number, since it is smaller than the sum of its proper divisors (3245990883).

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

1800720072 is an frugal number, since it uses more digits than its factorization.

1800720072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1800720072 is about 42434.8921525671. The cubic root of 1800720072 is about 1216.6025857620.

Multiplying 1800720072 by its product of nonzero digits (1568), we get a square (2823529072896 = 1680336²).

The spelling of 1800720072 in words is "one billion, eight hundred million, seven hundred twenty thousand, seventy-two".