72950144 has 32 divisors (see below), whose sum is σ = 147728640. Its totient is φ = 35873280.

The previous prime is 72950131. The next prime is 72950149. The reversal of 72950144 is 44105927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 72950144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72950149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3137 + ... + 12479.

It is an arithmetic number, because the mean of its divisors is an integer number (4616520).

Almost surely, 2^72950144 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 72950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73864320).

72950144 is an abundant number, since it is smaller than the sum of its proper divisors (74778496).

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

72950144 is an equidigital number, since it uses as much as digits as its factorization.

72950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 72950144 is about 8541.0856452795. The cubic root of 72950144 is about 417.8387540729.

The spelling of 72950144 in words is "seventy-two million, nine hundred fifty thousand, one hundred forty-four".