72333030 has 128 divisors (see below), whose sum is σ = 218889216. Its totient is φ = 14860800.

The previous prime is 72333029. The next prime is 72333049. The reversal of 72333030 is 3033327.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 72332988 and 72333006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399540 + ... + 399720.

It is an arithmetic number, because the mean of its divisors is an integer number (1710072).

Almost surely, 2^72333030 is an apocalyptic number.

72333030 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72333030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109444608).

72333030 is an abundant number, since it is smaller than the sum of its proper divisors (146556186).

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

72333030 is a wasteful number, since it uses less digits than its factorization.

72333030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 1134, while the sum is 21.

The square root of 72333030 is about 8504.8827152407. The cubic root of 72333030 is about 416.6571951625.

Adding to 72333030 its reverse (3033327), we get a palindrome (75366357).

The spelling of 72333030 in words is "seventy-two million, three hundred thirty-three thousand, thirty".