72042432 has 168 divisors, whose sum is σ = 239987328. Its totient is φ = 18670080.

The previous prime is 72042431. The next prime is 72042473. The reversal of 72042432 is 23424027.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×72042432² = 10380224016949248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72042431) 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 23 ways as a sum of consecutive naturals, for example, 162403 + ... + 162845.

It is an arithmetic number, because the mean of its divisors is an integer number (1428496).

Almost surely, 2^72042432 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 72042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119993664).

72042432 is an abundant number, since it is smaller than the sum of its proper divisors (167944896).

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

72042432 is a wasteful number, since it uses less digits than its factorization.

72042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 72042432 is about 8487.7813355435. The cubic root of 72042432 is about 416.0984727436.

Adding to 72042432 its reverse (23424027), we get a palindrome (95466459).

The spelling of 72042432 in words is "seventy-two million, forty-two thousand, four hundred thirty-two".