26415972 has 72 divisors (see below), whose sum is σ = 74666592. Its totient is φ = 7804800.

The previous prime is 26415959. The next prime is 26415973. The reversal of 26415972 is 27951462.

26415972 is a `hidden beast` number, since 2 + 64 + 1 + 597 + 2 = 666.

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 (26415973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15423 + ... + 17049.

It is an arithmetic number, because the mean of its divisors is an integer number (1037036).

Almost surely, 2^26415972 is an apocalyptic number.

26415972 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 26415972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37333296).

26415972 is an abundant number, since it is smaller than the sum of its proper divisors (48250620).

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

26415972 is a wasteful number, since it uses less digits than its factorization.

26415972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 26415972 is about 5139.6470695953. The cubic root of 26415972 is about 297.8211469757.

The spelling of 26415972 in words is "twenty-six million, four hundred fifteen thousand, nine hundred seventy-two".