1854180072 has 120 divisors (see below), whose sum is σ = 5517443910. Its totient is φ = 581644800.

The previous prime is 1854180067. The next prime is 1854180101. The reversal of 1854180072 is 2700814581.

It can be written as a sum of positive squares in 3 ways, for example, as 1784724516 + 69455556 = 42246^2 + 8334^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 182322 + ... + 192222.

Almost surely, 2^1854180072 is an apocalyptic number.

1854180072 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 1854180072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758721955).

1854180072 is an abundant number, since it is smaller than the sum of its proper divisors (3663263838).

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

1854180072 is a wasteful number, since it uses less digits than its factorization.

1854180072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1854180072 is about 43060.1912675733. The cubic root of 1854180072 is about 1228.5249182063.

The spelling of 1854180072 in words is "one billion, eight hundred fifty-four million, one hundred eighty thousand, seventy-two".