72010628 has 6 divisors (see below), whose sum is σ = 126018606. Its totient is φ = 36005312.

The previous prime is 72010619. The next prime is 72010643. The reversal of 72010628 is 82601027.

It can be written as a sum of positive squares in only one way, i.e., 68690944 + 3319684 = 8288^2 + 1822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72010597 and 72010606.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 9001325 + ... + 9001332.

It is an arithmetic number, because the mean of its divisors is an integer number (21003101).

Almost surely, 2^72010628 is an apocalyptic number.

It is an amenable number.

72010628 is a deficient number, since it is larger than the sum of its proper divisors (54007978).

72010628 is a wasteful number, since it uses less digits than its factorization.

72010628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002661 (or 18002659 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 72010628 is about 8485.9076120354. The cubic root of 72010628 is about 416.0372331689.

The spelling of 72010628 in words is "seventy-two million, ten thousand, six hundred twenty-eight".