72036432 has 160 divisors (see below), whose sum is σ = 226652160. Its totient is φ = 21772800.

The previous prime is 72036427. The next prime is 72036439. The reversal of 72036432 is 23463027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72036396 and 72036405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72036439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567153 + ... + 567279.

It is an arithmetic number, because the mean of its divisors is an integer number (1416576).

Almost surely, 2^72036432 is an apocalyptic number.

72036432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72036432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113326080).

72036432 is an abundant number, since it is smaller than the sum of its proper divisors (154615728).

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

72036432 is a wasteful number, since it uses less digits than its factorization.

72036432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72036432 is about 8487.4278789277. The cubic root of 72036432 is about 416.0869209396.

Adding to 72036432 its reverse (23463027), we get a palindrome (95499459).

The spelling of 72036432 in words is "seventy-two million, thirty-six thousand, four hundred thirty-two".