72001757 has 4 divisors (see below), whose sum is σ = 72028476. Its totient is φ = 71975040.

The previous prime is 72001729. The next prime is 72001759. The reversal of 72001757 is 75710027.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 54479161 + 17522596 = 7381^2 + 4186^2 .

It is a cyclic number.

It is not a de Polignac number, because 72001757 - 2²⁶ = 4892893 is a prime.

It is a super-2 number, since 2×72001757² = 10368506022174098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72001759) 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 3 ways as a sum of consecutive naturals, for example, 8798 + ... + 14879.

It is an arithmetic number, because the mean of its divisors is an integer number (18007119).

Almost surely, 2^72001757 is an apocalyptic number.

It is an amenable number.

72001757 is a deficient number, since it is larger than the sum of its proper divisors (26719).

72001757 is a wasteful number, since it uses less digits than its factorization.

72001757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26718.

The product of its (nonzero) digits is 3430, while the sum is 29.

The square root of 72001757 is about 8485.3849058248. The cubic root of 72001757 is about 416.0201485711.

The spelling of 72001757 in words is "seventy-two million, one thousand, seven hundred fifty-seven".