72725184 has 168 divisors, whose sum is σ = 252484128. Its totient is φ = 19537920.

The previous prime is 72725183. The next prime is 72725197. The reversal of 72725184 is 48152727.

72725184 is a `hidden beast` number, since 72 + 72 + 518 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72725183) 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, 68014 + ... + 69074.

Almost surely, 2^72725184 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 72725184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126242064).

72725184 is an abundant number, since it is smaller than the sum of its proper divisors (179758944).

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

72725184 is a wasteful number, since it uses less digits than its factorization.

72725184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1090 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72725184 is about 8527.9061908536. The cubic root of 72725184 is about 417.4088084145.

The spelling of 72725184 in words is "seventy-two million, seven hundred twenty-five thousand, one hundred eighty-four".