72822528 has 54 divisors (see below), whose sum is σ = 209971944. Its totient is φ = 24273408.

The previous prime is 72822527. The next prime is 72822539. The reversal of 72822528 is 82522827.

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

It is a junction number, because it is equal to n+sod(n) for n = 72822492 and 72822501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72822527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13500 + ... + 18107.

Almost surely, 2^72822528 is an apocalyptic number.

It is an amenable number.

72822528 is an abundant number, since it is smaller than the sum of its proper divisors (137149416).

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

72822528 is a wasteful number, since it uses less digits than its factorization.

72822528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31629 (or 31612 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 72822528 is about 8533.6116621276. The cubic root of 72822528 is about 417.5949618452.

The spelling of 72822528 in words is "seventy-two million, eight hundred twenty-two thousand, five hundred twenty-eight".