72342816 has 192 divisors, whose sum is σ = 239904000. Its totient is φ = 19079424.

The previous prime is 72342811. The next prime is 72342817. The reversal of 72342816 is 61824327.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72342811) 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 31 ways as a sum of consecutive naturals, for example, 5564826 + ... + 5564838.

It is an arithmetic number, because the mean of its divisors is an integer number (1249500).

Almost surely, 2^72342816 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 72342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

72342816 is an abundant number, since it is smaller than the sum of its proper divisors (167561184).

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

72342816 is an equidigital number, since it uses as much as digits as its factorization.

72342816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 25 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 72342816 is about 8505.4580123589. The cubic root of 72342816 is about 416.6759842894.

The spelling of 72342816 in words is "seventy-two million, three hundred forty-two thousand, eight hundred sixteen".