13372800 has 192 divisors, whose sum is σ = 50592000. Its totient is φ = 3041280.

The previous prime is 13372771. The next prime is 13372831. The reversal of 13372800 is 827331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×13372800³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67101 + ... + 67299.

It is an arithmetic number, because the mean of its divisors is an integer number (263500).

Almost surely, 2^13372800 is an apocalyptic number.

13372800 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 13372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25296000).

13372800 is an abundant number, since it is smaller than the sum of its proper divisors (37219200).

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

13372800 is a wasteful number, since it uses less digits than its factorization.

13372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13372800 is about 3656.8839194046. The cubic root of 13372800 is about 237.3599543706.

The spelling of 13372800 in words is "thirteen million, three hundred seventy-two thousand, eight hundred".