10172400 has 180 divisors, whose sum is σ = 38124792. Its totient is φ = 2311680.

The previous prime is 10172399. The next prime is 10172419. The reversal of 10172400 is 427101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10172400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58714 + ... + 58886.

Almost surely, 2^10172400 is an apocalyptic number.

10172400 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 10172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19062396).

10172400 is an abundant number, since it is smaller than the sum of its proper divisors (27952392).

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

10172400 is a wasteful number, since it uses less digits than its factorization.

10172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10172400 is about 3189.4200099705. The cubic root of 10172400 is about 216.6745033326.

Adding to 10172400 its reverse (427101), we get a palindrome (10599501).

The spelling of 10172400 in words is "ten million, one hundred seventy-two thousand, four hundred".