72478432 has 48 divisors (see below), whose sum is σ = 156325680. Its totient is φ = 32873472.

The previous prime is 72478421. The next prime is 72478459. The reversal of 72478432 is 23487427.

It is a junction number, because it is equal to n+sod(n) for n = 72478391 and 72478400.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23068 + ... + 26020.

It is an arithmetic number, because the mean of its divisors is an integer number (3256785).

Almost surely, 2^72478432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72478432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78162840).

72478432 is an abundant number, since it is smaller than the sum of its proper divisors (83847248).

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

72478432 is a wasteful number, since it uses less digits than its factorization.

72478432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3027 counting only the distinct ones).

The product of its digits is 75264, while the sum is 37.

The square root of 72478432 is about 8513.4265721858. The cubic root of 72478432 is about 416.9361928337.

The spelling of 72478432 in words is "seventy-two million, four hundred seventy-eight thousand, four hundred thirty-two".