72725448 has 32 divisors (see below), whose sum is σ = 189720000. Its totient is φ = 23187648.

The previous prime is 72725423. The next prime is 72725449. The reversal of 72725448 is 84452727.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72725449) 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 7 ways as a sum of consecutive naturals, for example, 65323 + ... + 66426.

It is an arithmetic number, because the mean of its divisors is an integer number (5928750).

Almost surely, 2^72725448 is an apocalyptic number.

It is an amenable number.

72725448 is an abundant number, since it is smaller than the sum of its proper divisors (116994552).

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

72725448 is a wasteful number, since it uses less digits than its factorization.

72725448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131781 (or 131777 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 72725448 is about 8527.9216694339. The cubic root of 72725448 is about 417.4093134930.

It can be divided in two parts, 7272 and 5448, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 72725448 in words is "seventy-two million, seven hundred twenty-five thousand, four hundred forty-eight".