72732140 has 48 divisors (see below), whose sum is σ = 166615680. Its totient is φ = 26507520.

The previous prime is 72732139. The next prime is 72732173. The reversal of 72732140 is 4123727.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18770 + ... + 22310.

It is an arithmetic number, because the mean of its divisors is an integer number (3471160).

Almost surely, 2^72732140 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 72732140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83307840).

72732140 is an abundant number, since it is smaller than the sum of its proper divisors (93883540).

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

72732140 is a wasteful number, since it uses less digits than its factorization.

72732140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 72732140 is about 8528.3140186088. The cubic root of 72732140 is about 417.4221160609.

Adding to 72732140 its reverse (4123727), we get a palindrome (76855867).

The spelling of 72732140 in words is "seventy-two million, seven hundred thirty-two thousand, one hundred forty".