72032724 has 72 divisors (see below), whose sum is σ = 195380640. Its totient is φ = 22306752.

The previous prime is 72032693. The next prime is 72032729. The reversal of 72032724 is 42723027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72032729) 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, 35259 + ... + 37245.

It is an arithmetic number, because the mean of its divisors is an integer number (2713620).

Almost surely, 2^72032724 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 72032724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97690320).

72032724 is an abundant number, since it is smaller than the sum of its proper divisors (123347916).

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

72032724 is a wasteful number, since it uses less digits than its factorization.

72032724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72032724 is about 8487.2094353798. The cubic root of 72032724 is about 416.0797816041.

The spelling of 72032724 in words is "seventy-two million, thirty-two thousand, seven hundred twenty-four".