72432000 has 192 divisors, whose sum is σ = 260638560. Its totient is φ = 19276800.

The previous prime is 72431963. The next prime is 72432001. The reversal of 72432000 is 23427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72432001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143749 + ... + 144251.

Almost surely, 2^72432000 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 72432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

72432000 is an abundant number, since it is smaller than the sum of its proper divisors (188206560).

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

72432000 is a wasteful number, since it uses less digits than its factorization.

72432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72432000 is about 8510.6991487186. The cubic root of 72432000 is about 416.8471395973.

Adding to 72432000 its reverse (23427), we get a palindrome (72455427).

The spelling of 72432000 in words is "seventy-two million, four hundred thirty-two thousand".