10035672 has 32 divisors (see below), whose sum is σ = 25198080. Its totient is φ = 3330720.

The previous prime is 10035647. The next prime is 10035673. The reversal of 10035672 is 27653001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5733 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (787440).

Almost surely, 2^10035672 is an apocalyptic number.

10035672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10035672 is an abundant number, since it is smaller than the sum of its proper divisors (15162408).

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

10035672 is a wasteful number, since it uses less digits than its factorization.

10035672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10035672 is about 3167.9128775899. The cubic root of 10035672 is about 215.6993416419.

Adding to 10035672 its reverse (27653001), we get a palindrome (37688673).

The spelling of 10035672 in words is "ten million, thirty-five thousand, six hundred seventy-two".