72964340 has 48 divisors (see below), whose sum is σ = 164711232. Its totient is φ = 27050496.

The previous prime is 72964327. The next prime is 72964343. The reversal of 72964340 is 4346927.

It is a self number, because there is not a number n which added to its sum of digits gives 72964340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72964343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21179 + ... + 24381.

It is an arithmetic number, because the mean of its divisors is an integer number (3431484).

Almost surely, 2^72964340 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 72964340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82355616).

72964340 is an abundant number, since it is smaller than the sum of its proper divisors (91746892).

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

72964340 is a wasteful number, since it uses less digits than its factorization.

72964340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 72964340 is about 8541.9166467486. The cubic root of 72964340 is about 417.8658559350.

The spelling of 72964340 in words is "seventy-two million, nine hundred sixty-four thousand, three hundred forty".