1172872800 has 432 divisors, whose sum is σ = 4606580160. Its totient is φ = 278400000.

The previous prime is 1172872777. The next prime is 1172872801. The reversal of 1172872800 is 82782711.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172872801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4672675 + ... + 4672925.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^1172872800 is an apocalyptic number.

1172872800 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 1172872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303290080).

1172872800 is an abundant number, since it is smaller than the sum of its proper divisors (3433707360).

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

1172872800 is a wasteful number, since it uses less digits than its factorization.

1172872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1172872800 is about 34247.2305449652. The cubic root of 1172872800 is about 1054.5899741591.

The spelling of 1172872800 in words is "one billion, one hundred seventy-two million, eight hundred seventy-two thousand, eight hundred".