1672727820 has 96 divisors (see below), whose sum is σ = 4834373376. Its totient is φ = 431827200.

The previous prime is 1672727759. The next prime is 1672727839. The reversal of 1672727820 is 287272761.

1672727820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466635 + ... + 470205.

It is an arithmetic number, because the mean of its divisors is an integer number (50358056).

Almost surely, 2^1672727820 is an apocalyptic number.

1672727820 is a gapful number since it is divisible by the number (10) 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 1672727820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417186688).

1672727820 is an abundant number, since it is smaller than the sum of its proper divisors (3161645556).

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

1672727820 is a wasteful number, since it uses less digits than its factorization.

1672727820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 1672727820 is about 40898.9953421841. The cubic root of 1672727820 is about 1187.0666211002.

The spelling of 1672727820 in words is "one billion, six hundred seventy-two million, seven hundred twenty-seven thousand, eight hundred twenty".