10363672 has 64 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 4368000.

The previous prime is 10363669. The next prime is 10363679. The reversal of 10363672 is 27636301.

It is a super-3 number, since 3×10363672³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10363672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79047 + ... + 79177.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 2^10363672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10363672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

10363672 is an abundant number, since it is smaller than the sum of its proper divisors (12445928).

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

10363672 is a wasteful number, since it uses less digits than its factorization.

10363672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 10363672 is about 3219.2657547956. The cubic root of 10363672 is about 218.0241254898.

Adding to 10363672 its reverse (27636301), we get a palindrome (37999973).

The spelling of 10363672 in words is "ten million, three hundred sixty-three thousand, six hundred seventy-two".