72469320 has 384 divisors, whose sum is σ = 294174720. Its totient is φ = 13939200.

The previous prime is 72469303. The next prime is 72469333. The reversal of 72469320 is 2396427.

It is a super-3 number, since 3×72469320³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2337705 + ... + 2337735.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^72469320 is an apocalyptic number.

72469320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72469320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

72469320 is an abundant number, since it is smaller than the sum of its proper divisors (221705400).

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

72469320 is a wasteful number, since it uses less digits than its factorization.

72469320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 72469320 is about 8512.8914006934. The cubic root of 72469320 is about 416.9187196733.

The spelling of 72469320 in words is "seventy-two million, four hundred sixty-nine thousand, three hundred twenty".