72761344 has 30 divisors (see below), whose sum is σ = 145551014. Its totient is φ = 36372480.

The previous prime is 72761341. The next prime is 72761383. The reversal of 72761344 is 44316727.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 13778944 = 7680^2 + 3712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72761341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14164 + ... + 18604.

Almost surely, 2^72761344 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 72761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72775507).

72761344 is an abundant number, since it is smaller than the sum of its proper divisors (72789670).

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

72761344 is an frugal number, since it uses more digits than its factorization.

72761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4443 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 72761344 is about 8530.0260257516. The cubic root of 72761344 is about 417.4779774918.

The spelling of 72761344 in words is "seventy-two million, seven hundred sixty-one thousand, three hundred forty-four".