72717741 has 12 divisors (see below), whose sum is σ = 105303900. Its totient is φ = 48355200.

The previous prime is 72717739. The next prime is 72717751. The reversal of 72717741 is 14771727.

It can be written as a sum of positive squares in 2 ways, for example, as 58201641 + 14516100 = 7629^2 + 3810^2 .

It is not a de Polignac number, because 72717741 - 2¹ = 72717739 is a prime.

It is a super-2 number, since 2×72717741² = 10575739712286162, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72717696 and 72717705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72717751) 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, 6466 + ... + 13683.

It is an arithmetic number, because the mean of its divisors is an integer number (8775325).

Almost surely, 2^72717741 is an apocalyptic number.

It is an amenable number.

72717741 is a deficient number, since it is larger than the sum of its proper divisors (32586159).

72717741 is a wasteful number, since it uses less digits than its factorization.

72717741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20556 (or 20553 counting only the distinct ones).

The product of its digits is 19208, while the sum is 36.

The square root of 72717741 is about 8527.4697888647. The cubic root of 72717741 is about 417.3945681400.

The spelling of 72717741 in words is "seventy-two million, seven hundred seventeen thousand, seven hundred forty-one".