72822435 has 48 divisors (see below), whose sum is σ = 137339136. Its totient is φ = 32260032.

The previous prime is 72822433. The next prime is 72822443. The reversal of 72822435 is 53422827.

It is not a de Polignac number, because 72822435 - 2¹ = 72822433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72822396 and 72822405.

It is not an unprimeable number, because it can be changed into a prime (72822433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573342 + ... + 573468.

It is an arithmetic number, because the mean of its divisors is an integer number (2861232).

Almost surely, 2^72822435 is an apocalyptic number.

72822435 is a deficient number, since it is larger than the sum of its proper divisors (64516701).

72822435 is a wasteful number, since it uses less digits than its factorization.

72822435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 185 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 72822435 is about 8533.6062130848. The cubic root of 72822435 is about 417.5947840781.

The spelling of 72822435 in words is "seventy-two million, eight hundred twenty-two thousand, four hundred thirty-five".