72144576 has 168 divisors, whose sum is σ = 244876320. Its totient is φ = 19869696.

The previous prime is 72144571. The next prime is 72144581. The reversal of 72144576 is 67544127.

72144576 is a `hidden beast` number, since 72 + 14 + 4 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (72144571) and next prime (72144581).

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 a self number, because there is not a number n which added to its sum of digits gives 72144576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72144571) 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, 116620 + ... + 117236.

Almost surely, 2^72144576 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 72144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122438160).

72144576 is an abundant number, since it is smaller than the sum of its proper divisors (172731744).

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

72144576 is a wasteful number, since it uses less digits than its factorization.

72144576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 658 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72144576 is about 8493.7963243770. The cubic root of 72144576 is about 416.2950323273.

The spelling of 72144576 in words is "seventy-two million, one hundred forty-four thousand, five hundred seventy-six".