72333828 has 72 divisors (see below), whose sum is σ = 210013440. Its totient is φ = 20563200.

The previous prime is 72333809. The next prime is 72333847. The reversal of 72333828 is 82833327.

It is an interprime number because it is at equal distance from previous prime (72333809) and next prime (72333847).

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 = 72333792 and 72333801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59628 + ... + 60828.

Almost surely, 2^72333828 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 72333828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105006720).

72333828 is an abundant number, since it is smaller than the sum of its proper divisors (137679612).

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

72333828 is a wasteful number, since it uses less digits than its factorization.

72333828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1452 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 72333828 is about 8504.9296293385. The cubic root of 72333828 is about 416.6587273865.

The spelling of 72333828 in words is "seventy-two million, three hundred thirty-three thousand, eight hundred twenty-eight".