73181264 has 60 divisors (see below), whose sum is σ = 157544604. Its totient is φ = 32735232.

The previous prime is 73181263. The next prime is 73181279. The reversal of 73181264 is 46218137.

It can be written as a sum of positive squares in 6 ways, for example, as 22657600 + 50523664 = 4760^2 + 7108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73181264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73181263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284624 + ... + 284880.

Almost surely, 2^73181264 is an apocalyptic number.

73181264 is a gapful number since it is divisible by the number (74) 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 73181264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78772302).

73181264 is an abundant number, since it is smaller than the sum of its proper divisors (84363340).

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

73181264 is a wasteful number, since it uses less digits than its factorization.

73181264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 309 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 73181264 is about 8554.6048418381. The cubic root of 73181264 is about 418.2795532345.

The spelling of 73181264 in words is "seventy-three million, one hundred eighty-one thousand, two hundred sixty-four".