1672136131200 has 768 divisors, whose sum is σ = 6067964006400. Its totient is φ = 403107840000.

The previous prime is 1672136131151. The next prime is 1672136131201. The reversal of 1672136131200 is 21316312761.

It is a super-2 number, since 2×1672136131200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1672136131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412769175 + ... + 412773225.

It is an arithmetic number, because the mean of its divisors is an integer number (7900994800).

Almost surely, 2^{1672136131200} is an apocalyptic number.

1672136131200 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 1672136131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033982003200).

1672136131200 is an abundant number, since it is smaller than the sum of its proper divisors (4395827875200).

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

1672136131200 is a wasteful number, since it uses less digits than its factorization.

1672136131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 1672136131200 in words is "one trillion, six hundred seventy-two billion, one hundred thirty-six million, one hundred thirty-one thousand, two hundred".