72632120 has 64 divisors (see below), whose sum is σ = 179159040. Its totient is φ = 26281600.

The previous prime is 72632093. The next prime is 72632129. The reversal of 72632120 is 2123627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72632129) 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 15 ways as a sum of consecutive naturals, for example, 168305 + ... + 168735.

It is an arithmetic number, because the mean of its divisors is an integer number (2799360).

Almost surely, 2^72632120 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 72632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89579520).

72632120 is an abundant number, since it is smaller than the sum of its proper divisors (106526920).

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

72632120 is a wasteful number, since it uses less digits than its factorization.

72632120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 72632120 is about 8522.4480051215. The cubic root of 72632120 is about 417.2306843550.

Adding to 72632120 its reverse (2123627), we get a palindrome (74755747).

The spelling of 72632120 in words is "seventy-two million, six hundred thirty-two thousand, one hundred twenty".