72255744 has 108 divisors (see below), whose sum is σ = 227350032. Its totient is φ = 21888000.

The previous prime is 72255739. The next prime is 72255749. The reversal of 72255744 is 44755227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72255739) and next prime (72255749).

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 = 72255699 and 72255708.

It is not an unprimeable number, because it can be changed into a prime (72255749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23919 + ... + 26769.

Almost surely, 2^72255744 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 72255744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113675016).

72255744 is an abundant number, since it is smaller than the sum of its proper divisors (155094288).

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

72255744 is a wasteful number, since it uses less digits than its factorization.

72255744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2867 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 72255744 is about 8500.3378756377. The cubic root of 72255744 is about 416.5087464122.

The spelling of 72255744 in words is "seventy-two million, two hundred fifty-five thousand, seven hundred forty-four".