1872672141600 has 1296 divisors, whose sum is σ = 7636788589248. Its totient is φ = 429130874880.

The previous prime is 1872672141577. The next prime is 1872672141601. The reversal of 1872672141600 is 61412762781.

1872672141600 is a `hidden beast` number, since 1 + 8 + 7 + 26 + 7 + 2 + 14 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1872672141601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2894392477 + ... + 2894393123.

It is an arithmetic number, because the mean of its divisors is an integer number (5892583788).

Almost surely, 2^{1872672141600} is an apocalyptic number.

1872672141600 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 1872672141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818394294624).

1872672141600 is an abundant number, since it is smaller than the sum of its proper divisors (5764116447648).

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

1872672141600 is a wasteful number, since it uses less digits than its factorization.

1872672141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1872672141600 in words is "one trillion, eight hundred seventy-two billion, six hundred seventy-two million, one hundred forty-one thousand, six hundred".