72855144 has 48 divisors (see below), whose sum is σ = 198490500. Its totient is φ = 24140544.

The previous prime is 72855127. The next prime is 72855157. The reversal of 72855144 is 44155827.

It can be written as a sum of positive squares in 2 ways, for example, as 71064900 + 1790244 = 8430^2 + 1338^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 72855099 and 72855108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9532 + ... + 15380.

Almost surely, 2^72855144 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 72855144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99245250).

72855144 is an abundant number, since it is smaller than the sum of its proper divisors (125635356).

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

72855144 is a wasteful number, since it uses less digits than its factorization.

72855144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6027 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 72855144 is about 8535.5224796142. The cubic root of 72855144 is about 417.6572971542.

The spelling of 72855144 in words is "seventy-two million, eight hundred fifty-five thousand, one hundred forty-four".