72709032 has 64 divisors (see below), whose sum is σ = 205156800. Its totient is φ = 21271040.

The previous prime is 72709027. The next prime is 72709037. The reversal of 72709032 is 23090727.

It is an interprime number because it is at equal distance from previous prime (72709027) and next prime (72709037).

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

It is not an unprimeable number, because it can be changed into a prime (72709037) 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, 2908 + ... + 12404.

It is an arithmetic number, because the mean of its divisors is an integer number (3205575).

Almost surely, 2^72709032 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 72709032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102578400).

72709032 is an abundant number, since it is smaller than the sum of its proper divisors (132447768).

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

72709032 is a wasteful number, since it uses less digits than its factorization.

72709032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 72709032 is about 8526.9591297250. The cubic root of 72709032 is about 417.3779044649.

Adding to 72709032 its reverse (23090727), we get a palindrome (95799759).

The spelling of 72709032 in words is "seventy-two million, seven hundred nine thousand, thirty-two".