72432576 has 112 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 23904000.

The previous prime is 72432557. The next prime is 72432583. The reversal of 72432576 is 67523427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72432576.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 288451 + ... + 288701.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2^72432576 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 72432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

72432576 is an abundant number, since it is smaller than the sum of its proper divisors (142634304).

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

72432576 is a wasteful number, since it uses less digits than its factorization.

72432576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72432576 is about 8510.7329884094. The cubic root of 72432576 is about 416.8482445570.

The spelling of 72432576 in words is "seventy-two million, four hundred thirty-two thousand, five hundred seventy-six".