26872300 has 72 divisors (see below), whose sum is σ = 71794016. Its totient is φ = 8501760.

The previous prime is 26872283. The next prime is 26872309. The reversal of 26872300 is 327862.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (26872309) 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, 7624 + ... + 10576.

Almost surely, 2^26872300 is an apocalyptic number.

26872300 is a gapful number since it is divisible by the number (20) 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 26872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35897008).

26872300 is an abundant number, since it is smaller than the sum of its proper divisors (44921716).

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

26872300 is a wasteful number, since it uses less digits than its factorization.

26872300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 26872300 is about 5183.8499206671. The cubic root of 26872300 is about 299.5262894251.

It can be divided in two parts, 26872 and 300, that added together give a palindrome (27172).

The spelling of 26872300 in words is "twenty-six million, eight hundred seventy-two thousand, three hundred".