72383744 has 36 divisors (see below), whose sum is σ = 145040196. Its totient is φ = 36052992.

The previous prime is 72383699. The next prime is 72383809. The reversal of 72383744 is 44738327.

It can be written as a sum of positive squares in 2 ways, for example, as 12166144 + 60217600 = 3488^2 + 7760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72383698 and 72383707.

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, 110522 + ... + 111174.

Almost surely, 2^72383744 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 72383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72520098).

72383744 is an abundant number, since it is smaller than the sum of its proper divisors (72656452).

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

72383744 is an equidigital number, since it uses as much as digits as its factorization.

72383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The square root of 72383744 is about 8507.8636566414. The cubic root of 72383744 is about 416.7545477211.

It can be divided in two parts, 7238 and 3744, that multiplied together give a palindrome (27099072).

The spelling of 72383744 in words is "seventy-two million, three hundred eighty-three thousand, seven hundred forty-four".