10172672 has 36 divisors (see below), whose sum is σ = 20603520. Its totient is φ = 5011968.

The previous prime is 10172671. The next prime is 10172683. The reversal of 10172672 is 27627101.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10172671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19973 + ... + 20475.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^10172672 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 10172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301760).

10172672 is an abundant number, since it is smaller than the sum of its proper divisors (10430848).

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

10172672 is an frugal number, since it uses more digits than its factorization.

10172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 10172672 is about 3189.4626506670. The cubic root of 10172672 is about 216.6764345366.

Adding to 10172672 its reverse (27627101), we get a palindrome (37799773).

The spelling of 10172672 in words is "ten million, one hundred seventy-two thousand, six hundred seventy-two".