26792172 has 72 divisors (see below), whose sum is σ = 76461840. Its totient is φ = 7835520.

The previous prime is 26792167. The next prime is 26792173. The reversal of 26792172 is 27129762.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26792173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10318 + ... + 12650.

It is an arithmetic number, because the mean of its divisors is an integer number (1061970).

Almost surely, 2^26792172 is an apocalyptic number.

26792172 is a gapful number since it is divisible by the number (22) 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 26792172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38230920).

26792172 is an abundant number, since it is smaller than the sum of its proper divisors (49669668).

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

26792172 is a wasteful number, since it uses less digits than its factorization.

26792172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2378 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 26792172 is about 5176.1155319409. The cubic root of 26792172 is about 299.2282832129.

It can be divided in two parts, 2679 and 2172, that added together give a triangular number (4851 = T₉₈).

The spelling of 26792172 in words is "twenty-six million, seven hundred ninety-two thousand, one hundred seventy-two".