72822816 has 144 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 21772800.

The previous prime is 72822797. The next prime is 72822821. The reversal of 72822816 is 61822827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402246 + ... + 402426.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 2^72822816 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 72822816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

72822816 is an abundant number, since it is smaller than the sum of its proper divisors (156130272).

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

72822816 is a wasteful number, since it uses less digits than its factorization.

72822816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 72822816 is about 8533.6285365605. The cubic root of 72822816 is about 417.5955123488.

The spelling of 72822816 in words is "seventy-two million, eight hundred twenty-two thousand, eight hundred sixteen".