264072672 has 72 divisors (see below), whose sum is σ = 763733880. Its totient is φ = 86526720.

The previous prime is 264072631. The next prime is 264072689. The reversal of 264072672 is 276270462.

264072672 is a `hidden beast` number, since 2 + 640 + 7 + 2 + 6 + 7 + 2 = 666.

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

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, 9222 + ... + 24762.

It is an arithmetic number, because the mean of its divisors is an integer number (10607415).

Almost surely, 2^264072672 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 264072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381866940).

264072672 is an abundant number, since it is smaller than the sum of its proper divisors (499661208).

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

264072672 is a wasteful number, since it uses less digits than its factorization.

264072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15616 (or 15605 counting only the distinct ones).

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

The square root of 264072672 is about 16250.3129816013. The cubic root of 264072672 is about 641.5657237137.

The spelling of 264072672 in words is "two hundred sixty-four million, seventy-two thousand, six hundred seventy-two".