72165301 has 8 divisors (see below), whose sum is σ = 77806904. Its totient is φ = 66536640.

The previous prime is 72165293. The next prime is 72165307. The reversal of 72165301 is 10356127.

It can be written as a sum of positive squares in 4 ways, for example, as 5171076 + 66994225 = 2274^2 + 8185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72165301 - 2³ = 72165293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10555 + ... + 15991.

It is an arithmetic number, because the mean of its divisors is an integer number (9725863).

Almost surely, 2^72165301 is an apocalyptic number.

It is an amenable number.

72165301 is a deficient number, since it is larger than the sum of its proper divisors (5641603).

72165301 is a wasteful number, since it uses less digits than its factorization.

72165301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 72165301 is about 8495.0162448344. The cubic root of 72165301 is about 416.3348915886.

The spelling of 72165301 in words is "seventy-two million, one hundred sixty-five thousand, three hundred one".