13172400 has 90 divisors (see below), whose sum is σ = 45724380. Its totient is φ = 3511680.

The previous prime is 13172371. The next prime is 13172429. The reversal of 13172400 is 427131.

It is an interprime number because it is at equal distance from previous prime (13172371) and next prime (13172429).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 1771 + ... + 5429.

Almost surely, 2^13172400 is an apocalyptic number.

13172400 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 13172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22862190).

13172400 is an abundant number, since it is smaller than the sum of its proper divisors (32551980).

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

13172400 is a wasteful number, since it uses less digits than its factorization.

13172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13172400 is about 3629.3801123608. The cubic root of 13172400 is about 236.1683181132.

Adding to 13172400 its reverse (427131), we get a palindrome (13599531).

The spelling of 13172400 in words is "thirteen million, one hundred seventy-two thousand, four hundred".