72400432 has 40 divisors (see below), whose sum is σ = 152802720. Its totient is φ = 33031680.

The previous prime is 72400429. The next prime is 72400439. The reversal of 72400432 is 23400427.

It is not an unprimeable number, because it can be changed into a prime (72400439) 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 7 ways as a sum of consecutive naturals, for example, 16557 + ... + 20467.

It is an arithmetic number, because the mean of its divisors is an integer number (3820068).

Almost surely, 2^72400432 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 72400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76401360).

72400432 is an abundant number, since it is smaller than the sum of its proper divisors (80402288).

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

72400432 is a wasteful number, since it uses less digits than its factorization.

72400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 72400432 is about 8508.8443398619. The cubic root of 72400432 is about 416.7865727086.

Adding to 72400432 its reverse (23400427), we get a palindrome (95800859).

The spelling of 72400432 in words is "seventy-two million, four hundred thousand, four hundred thirty-two".