72364224 has 28 divisors (see below), whose sum is σ = 191464184. Its totient is φ = 24121344.

The previous prime is 72364211. The next prime is 72364249. The reversal of 72364224 is 42246327.

It is a junction number, because it is equal to n+sod(n) for n = 72364191 and 72364200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188257 + ... + 188640.

Almost surely, 2^72364224 is an apocalyptic number.

It is an amenable number.

72364224 is an abundant number, since it is smaller than the sum of its proper divisors (119099960).

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

72364224 is a wasteful number, since it uses less digits than its factorization.

72364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376912 (or 376902 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 72364224 is about 8506.7164052882. The cubic root of 72364224 is about 416.7170817575.

The spelling of 72364224 in words is "seventy-two million, three hundred sixty-four thousand, two hundred twenty-four".