26472672 has 72 divisors (see below), whose sum is σ = 79724736. Its totient is φ = 8303616.

The previous prime is 26472661. The next prime is 26472707. The reversal of 26472672 is 27627462.

26472672 is a `hidden beast` number, since 2 + 647 + 2 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×26472672³ (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2193 + ... + 7599.

It is an arithmetic number, because the mean of its divisors is an integer number (1107288).

Almost surely, 2^26472672 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 26472672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39862368).

26472672 is an abundant number, since it is smaller than the sum of its proper divisors (53252064).

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

26472672 is a wasteful number, since it uses less digits than its factorization.

26472672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5429 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 26472672 is about 5145.1600558194. The cubic root of 26472672 is about 298.0340786515.

The spelling of 26472672 in words is "twenty-six million, four hundred seventy-two thousand, six hundred seventy-two".