72264465 has 72 divisors (see below), whose sum is σ = 156979368. Its totient is φ = 30481920.

The previous prime is 72264463. The next prime is 72264473. The reversal of 72264465 is 56446227.

72264465 is a `hidden beast` number, since 7 + 2 + 2 + 644 + 6 + 5 = 666.

72264465 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 4498641 + 67765824 = 2121^2 + 8232^2 .

It is not a de Polignac number, because 72264465 - 2¹ = 72264463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72264463) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27405 + ... + 29925.

It is an arithmetic number, because the mean of its divisors is an integer number (2180269).

Almost surely, 2^72264465 is an apocalyptic number.

It is an amenable number.

72264465 is an abundant number, since it is smaller than the sum of its proper divisors (84714903).

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

72264465 is a wasteful number, since it uses less digits than its factorization.

72264465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2549 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72264465 is about 8500.8508397689. The cubic root of 72264465 is about 416.5255027578.

The spelling of 72264465 in words is "seventy-two million, two hundred sixty-four thousand, four hundred sixty-five".