72286464 has 72 divisors (see below), whose sum is σ = 195668032. Its totient is φ = 23685120.

The previous prime is 72286457. The next prime is 72286471. The reversal of 72286464 is 46468227.

It is an interprime number because it is at equal distance from previous prime (72286457) and next prime (72286471).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46077 + ... + 47619.

Almost surely, 2^72286464 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 72286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97834016).

72286464 is an abundant number, since it is smaller than the sum of its proper divisors (123381568).

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

72286464 is a wasteful number, since it uses less digits than its factorization.

72286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1609 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 72286464 is about 8502.1446706111. The cubic root of 72286464 is about 416.5677651840.

The spelling of 72286464 in words is "seventy-two million, two hundred eighty-six thousand, four hundred sixty-four".