72822848 has 56 divisors (see below), whose sum is σ = 168322752. Its totient is φ = 30610944.

The previous prime is 72822821. The next prime is 72822887. The reversal of 72822848 is 84822827.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×72822848² = 10606334381662208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22211 + ... + 25277.

Almost surely, 2^72822848 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 72822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84161376).

72822848 is an abundant number, since it is smaller than the sum of its proper divisors (95499904).

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

72822848 is a wasteful number, since it uses less digits than its factorization.

72822848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3129 counting only the distinct ones).

The product of its digits is 114688, while the sum is 41.

The square root of 72822848 is about 8533.6304114954. The cubic root of 72822848 is about 417.5955735158.

The spelling of 72822848 in words is "seventy-two million, eight hundred twenty-two thousand, eight hundred forty-eight".