72969432 has 64 divisors (see below), whose sum is σ = 193294080. Its totient is φ = 22906752.

The previous prime is 72969431. The next prime is 72969437. The reversal of 72969432 is 23496927.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72969431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35998 + ... + 37970.

It is an arithmetic number, because the mean of its divisors is an integer number (3020220).

Almost surely, 2^72969432 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 72969432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96647040).

72969432 is an abundant number, since it is smaller than the sum of its proper divisors (120324648).

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

72969432 is a wasteful number, since it uses less digits than its factorization.

72969432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2068 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 72969432 is about 8542.2147011182. The cubic root of 72969432 is about 417.8755763155.

The spelling of 72969432 in words is "seventy-two million, nine hundred sixty-nine thousand, four hundred thirty-two".