72346716 has 72 divisors (see below), whose sum is σ = 202887440. Its totient is φ = 22162464.

The previous prime is 72346711. The next prime is 72346721. The reversal of 72346716 is 61764327.

It is an interprime number because it is at equal distance from previous prime (72346711) and next prime (72346721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72346711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318595 + ... + 318821.

Almost surely, 2^72346716 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 72346716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101443720).

72346716 is an abundant number, since it is smaller than the sum of its proper divisors (130540724).

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

72346716 is a wasteful number, since it uses less digits than its factorization.

72346716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 245 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 72346716 is about 8505.6872738186. The cubic root of 72346716 is about 416.6834718200.

The spelling of 72346716 in words is "seventy-two million, three hundred forty-six thousand, seven hundred sixteen".