72306432 has 180 divisors, whose sum is σ = 235947096. Its totient is φ = 21841920.

The previous prime is 72306431. The next prime is 72306433. The reversal of 72306432 is 23460327.

It is an interprime number because it is at equal distance from previous prime (72306431) and next prime (72306433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72306396 and 72306405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72306431) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 227938 + ... + 228254.

Almost surely, 2^72306432 is an apocalyptic number.

72306432 is a gapful number since it is divisible by the number (72) 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 72306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117973548).

72306432 is an abundant number, since it is smaller than the sum of its proper divisors (163640664).

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

72306432 is a wasteful number, since it uses less digits than its factorization.

72306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72306432 is about 8503.3188814721. The cubic root of 72306432 is about 416.6061184196.

Adding to 72306432 its reverse (23460327), we get a palindrome (95766759).

The spelling of 72306432 in words is "seventy-two million, three hundred six thousand, four hundred thirty-two".