1672288800 has 864 divisors, whose sum is σ = 7319531520. Its totient is φ = 323481600.

The previous prime is 1672288763. The next prime is 1672288817. The reversal of 1672288800 is 88822761.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 53944785 + ... + 53944815.

It is an arithmetic number, because the mean of its divisors is an integer number (8471680).

Almost surely, 2^1672288800 is an apocalyptic number.

1672288800 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 1672288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659765760).

1672288800 is an abundant number, since it is smaller than the sum of its proper divisors (5647242720).

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

1672288800 is a wasteful number, since it uses less digits than its factorization.

1672288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 1672288800 is about 40893.6278654756. The cubic root of 1672288800 is about 1186.9627604917.

The spelling of 1672288800 in words is "one billion, six hundred seventy-two million, two hundred eighty-eight thousand, eight hundred".