72641826 has 64 divisors (see below), whose sum is σ = 171849600. Its totient is φ = 22680000.

The previous prime is 72641819. The next prime is 72641857. The reversal of 72641826 is 62814627.

72641826 is a `hidden beast` number, since 7 + 2 + 641 + 8 + 2 + 6 = 666.

It is a super-2 number, since 2×72641826² = 10553669769228552, which contains 22 as substring.

It is a congruent number.

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 in 31 ways as a sum of consecutive naturals, for example, 103276 + ... + 103976.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^72641826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72641826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

72641826 is an abundant number, since it is smaller than the sum of its proper divisors (99207774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72641826 is a wasteful number, since it uses less digits than its factorization.

72641826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72641826 is about 8523.0174234246. The cubic root of 72641826 is about 417.2492686978.

The spelling of 72641826 in words is "seventy-two million, six hundred forty-one thousand, eight hundred twenty-six".