72150013 has 8 divisors (see below), whose sum is σ = 79166808. Its totient is φ = 65342784.

The previous prime is 72149983. The next prime is 72150047. The reversal of 72150013 is 31005127.

It can be written as a sum of positive squares in 4 ways, for example, as 273529 + 71876484 = 523^2 + 8478^2 .

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

It is not a de Polignac number, because 72150013 - 2⁵ = 72149981 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 (72150053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51670 + ... + 53047.

It is an arithmetic number, because the mean of its divisors is an integer number (9895851).

Almost surely, 2^72150013 is an apocalyptic number.

It is an amenable number.

72150013 is a deficient number, since it is larger than the sum of its proper divisors (7016795).

72150013 is a wasteful number, since it uses less digits than its factorization.

72150013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104783.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 72150013 is about 8494.1163754684. The cubic root of 72150013 is about 416.3054897512.

The spelling of 72150013 in words is "seventy-two million, one hundred fifty thousand, thirteen".