10372736 has 64 divisors (see below), whose sum is σ = 23133600. Its totient is φ = 4592640.

The previous prime is 10372709. The next prime is 10372741. The reversal of 10372736 is 63727301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10372699 and 10372708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74555 + ... + 74693.

Almost surely, 2^10372736 is an apocalyptic number.

10372736 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 10372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566800).

10372736 is an abundant number, since it is smaller than the sum of its proper divisors (12760864).

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

10372736 is a wasteful number, since it uses less digits than its factorization.

10372736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 10372736 is about 3220.6732215486. The cubic root of 10372736 is about 218.0876677953.

It can be divided in two parts, 1037 and 2736, that added together give a palindrome (3773).

The spelling of 10372736 in words is "ten million, three hundred seventy-two thousand, seven hundred thirty-six".