10200736 has 96 divisors (see below), whose sum is σ = 25740288. Its totient is φ = 3870720.

The previous prime is 10200719. The next prime is 10200763. The reversal of 10200736 is 63700201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90216 + ... + 90328.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 2^10200736 is an apocalyptic number.

10200736 is a gapful number since it is divisible by the number (16) 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 10200736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144).

10200736 is an abundant number, since it is smaller than the sum of its proper divisors (15539552).

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

10200736 is a wasteful number, since it uses less digits than its factorization.

10200736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 10200736 is about 3193.8591077253. The cubic root of 10200736 is about 216.8755046261.

Adding to 10200736 its reverse (63700201), we get a palindrome (73900937).

The spelling of 10200736 in words is "ten million, two hundred thousand, seven hundred thirty-six".