72010327 has 8 divisors (see below), whose sum is σ = 73239536. Its totient is φ = 70785792.

The previous prime is 72010321. The next prime is 72010333. The reversal of 72010327 is 72301027.

It is an interprime number because it is at equal distance from previous prime (72010321) and next prime (72010333).

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 72010327 - 2¹⁹ = 71486039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72010298 and 72010307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72010321) 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 7 ways as a sum of consecutive naturals, for example, 44293 + ... + 45889.

It is an arithmetic number, because the mean of its divisors is an integer number (9154942).

Almost surely, 2^72010327 is an apocalyptic number.

72010327 is a deficient number, since it is larger than the sum of its proper divisors (1229209).

72010327 is a wasteful number, since it uses less digits than its factorization.

72010327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337.

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72010327 is about 8485.8898767307. The cubic root of 72010327 is about 416.0366534981.

The spelling of 72010327 in words is "seventy-two million, ten thousand, three hundred twenty-seven".