72743328 has 72 divisors (see below), whose sum is σ = 236422368. Its totient is φ = 20783232.

The previous prime is 72743317. The next prime is 72743351. The reversal of 72743328 is 82334727.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 72743292 and 72743301.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16026 + ... + 20057.

It is an arithmetic number, because the mean of its divisors is an integer number (3283644).

Almost surely, 2^72743328 is an apocalyptic number.

It is an amenable number.

72743328 is an abundant number, since it is smaller than the sum of its proper divisors (163679040).

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

72743328 is a wasteful number, since it uses less digits than its factorization.

72743328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36106 (or 36095 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 72743328 is about 8528.9699260813. The cubic root of 72743328 is about 417.4435182415.

The spelling of 72743328 in words is "seventy-two million, seven hundred forty-three thousand, three hundred twenty-eight".