72657741 has 16 divisors (see below), whose sum is σ = 104511680. Its totient is φ = 44634240.

The previous prime is 72657719. The next prime is 72657763. The reversal of 72657741 is 14775627.

It is an interprime number because it is at equal distance from previous prime (72657719) and next prime (72657763).

It is a de Polignac number, because none of the positive numbers 2^k-72657741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72657741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72657701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27561 + ... + 30081.

It is an arithmetic number, because the mean of its divisors is an integer number (6531980).

Almost surely, 2^72657741 is an apocalyptic number.

It is an amenable number.

72657741 is a deficient number, since it is larger than the sum of its proper divisors (31853939).

72657741 is a wasteful number, since it uses less digits than its factorization.

72657741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276.

The product of its digits is 82320, while the sum is 39.

The square root of 72657741 is about 8523.9510205069. The cubic root of 72657741 is about 417.2797379999.

The spelling of 72657741 in words is "seventy-two million, six hundred fifty-seven thousand, seven hundred forty-one".