10073600 has 60 divisors (see below), whose sum is σ = 24989844. Its totient is φ = 4024320.

The previous prime is 10073599. The next prime is 10073603. The reversal of 10073600 is 637001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12407 + ... + 13193.

Almost surely, 2^10073600 is an apocalyptic number.

10073600 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 10073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494922).

10073600 is an abundant number, since it is smaller than the sum of its proper divisors (14916244).

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

10073600 is an frugal number, since it uses more digits than its factorization.

10073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 10073600 is about 3173.8935079804. The cubic root of 10073600 is about 215.9707322027.

The spelling of 10073600 in words is "ten million, seventy-three thousand, six hundred".