26527072 has 144 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 10137600.

The previous prime is 26527069. The next prime is 26527079. The reversal of 26527072 is 27072562.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26527079) 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, 855697 + ... + 855727.

It is an arithmetic number, because the mean of its divisors is an integer number (469224).

Almost surely, 2^26527072 is an apocalyptic number.

26527072 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 26527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

26527072 is an abundant number, since it is smaller than the sum of its proper divisors (41041184).

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

26527072 is a wasteful number, since it uses less digits than its factorization.

26527072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 26527072 is about 5150.4438643674. The cubic root of 26527072 is about 298.2380872844.

Subtracting 26527072 from its reverse (27072562), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 26527072 in words is "twenty-six million, five hundred twenty-seven thousand, seventy-two".