72354816 has 88 divisors (see below), whose sum is σ = 214361840. Its totient is φ = 24109056.

The previous prime is 72354809. The next prime is 72354823. The reversal of 72354816 is 61845327.

It is an interprime number because it is at equal distance from previous prime (72354809) and next prime (72354823).

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26340 + ... + 28956.

It is an arithmetic number, because the mean of its divisors is an integer number (2435930).

Almost surely, 2^72354816 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 72354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107180920).

72354816 is an abundant number, since it is smaller than the sum of its proper divisors (142007024).

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

72354816 is a wasteful number, since it uses less digits than its factorization.

72354816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2622 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72354816 is about 8506.1634124910. The cubic root of 72354816 is about 416.6990219852.

The spelling of 72354816 in words is "seventy-two million, three hundred fifty-four thousand, eight hundred sixteen".