72468330 has 64 divisors (see below), whose sum is σ = 194185728. Its totient is φ = 17156160.

The previous prime is 72468317. The next prime is 72468371. The reversal of 72468330 is 3386427.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72468291 and 72468300.

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 31 ways as a sum of consecutive naturals, for example, 11637 + ... + 16743.

It is an arithmetic number, because the mean of its divisors is an integer number (3034152).

Almost surely, 2^72468330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72468330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97092864).

72468330 is an abundant number, since it is smaller than the sum of its proper divisors (121717398).

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

72468330 is a wasteful number, since it uses less digits than its factorization.

72468330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 72468330 is about 8512.8332533887. The cubic root of 72468330 is about 416.9168211623.

It can be divided in two parts, 7246 and 8330, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 72468330 in words is "seventy-two million, four hundred sixty-eight thousand, three hundred thirty".