72633330 has 192 divisors, whose sum is σ = 241532928. Its totient is φ = 14705280.

The previous prime is 72633317. The next prime is 72633391. The reversal of 72633330 is 3333627.

It is a junction number, because it is equal to n+sod(n) for n = 72633294 and 72633303.

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 95 ways as a sum of consecutive naturals, for example, 325599 + ... + 325821.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 2^72633330 is an apocalyptic number.

72633330 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 72633330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464).

72633330 is an abundant number, since it is smaller than the sum of its proper divisors (168899598).

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

72633330 is a wasteful number, since it uses less digits than its factorization.

72633330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 72633330 is about 8522.5189938187. The cubic root of 72633330 is about 417.2330012653.

Adding to 72633330 its reverse (3333627), we get a palindrome (75966957).

The spelling of 72633330 in words is "seventy-two million, six hundred thirty-three thousand, three hundred thirty".