72822720 has 112 divisors (see below), whose sum is σ = 238768128. Its totient is φ = 18785280.

The previous prime is 72822719. The next prime is 72822721. The reversal of 72822720 is 2722827.

It is an interprime number because it is at equal distance from previous prime (72822719) and next prime (72822721).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72822721) 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, 28537 + ... + 30983.

Almost surely, 2^72822720 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 72822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119384064).

72822720 is an abundant number, since it is smaller than the sum of its proper divisors (165945408).

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

72822720 is a wasteful number, since it uses less digits than its factorization.

72822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 72822720 is about 8533.6229117532. The cubic root of 72822720 is about 417.5953288478.

The spelling of 72822720 in words is "seventy-two million, eight hundred twenty-two thousand, seven hundred twenty".