72550144 has 36 divisors (see below), whose sum is σ = 145769904. Its totient is φ = 36036608.

The previous prime is 72550139. The next prime is 72550157. The reversal of 72550144 is 44105527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41904 + ... + 43600.

It is an arithmetic number, because the mean of its divisors is an integer number (4049164).

Almost surely, 2^72550144 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 72550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72884952).

72550144 is an abundant number, since it is smaller than the sum of its proper divisors (73219760).

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

72550144 is a wasteful number, since it uses less digits than its factorization.

72550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 72550144 is about 8517.6372310636. The cubic root of 72550144 is about 417.0736565904.

The spelling of 72550144 in words is "seventy-two million, five hundred fifty thousand, one hundred forty-four".