72165701 has 8 divisors (see below), whose sum is σ = 73687320. Its totient is φ = 70650112.

The previous prime is 72165689. The next prime is 72165713. The reversal of 72165701 is 10756127.

It is an interprime number because it is at equal distance from previous prime (72165689) and next prime (72165713).

It can be written as a sum of positive squares in 4 ways, for example, as 676 + 72165025 = 26^2 + 8495^2 .

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 72165701 - 2⁶ = 72165637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28961 + ... + 31353.

It is an arithmetic number, because the mean of its divisors is an integer number (9210915).

Almost surely, 2^72165701 is an apocalyptic number.

It is an amenable number.

72165701 is a deficient number, since it is larger than the sum of its proper divisors (1521619).

72165701 is a wasteful number, since it uses less digits than its factorization.

72165701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 72165701 is about 8495.0397880175. The cubic root of 72165701 is about 416.3356608117.

The spelling of 72165701 in words is "seventy-two million, one hundred sixty-five thousand, seven hundred one".