1672073020800 has 4320 divisors, whose sum is σ = 8380935070200. Its totient is φ = 326069452800.

The previous prime is 1672073020703. The next prime is 1672073020831. The reversal of 1672073020800 is 80203702761.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 40782268780 + ... + 40782268820.

Almost surely, 2^{1672073020800} is an apocalyptic number.

1672073020800 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 1672073020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190467535100).

1672073020800 is an abundant number, since it is smaller than the sum of its proper divisors (6708862049400).

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

1672073020800 is a wasteful number, since it uses less digits than its factorization.

1672073020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1672073020800 in words is "one trillion, six hundred seventy-two billion, seventy-three million, twenty thousand, eight hundred".