72021144 has 64 divisors (see below), whose sum is σ = 194745600. Its totient is φ = 22064256.

The previous prime is 72021139. The next prime is 72021149. The reversal of 72021144 is 44112027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72021139) and next prime (72021149).

It is a self number, because there is not a number n which added to its sum of digits gives 72021144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72021149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111687 + ... + 112329.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^72021144 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 72021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97372800).

72021144 is an abundant number, since it is smaller than the sum of its proper divisors (122724456).

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

72021144 is a wasteful number, since it uses less digits than its factorization.

72021144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 72021144 is about 8486.5272049290. The cubic root of 72021144 is about 416.0574840435.

The spelling of 72021144 in words is "seventy-two million, twenty-one thousand, one hundred forty-four".