72610818 has 48 divisors (see below), whose sum is σ = 175199040. Its totient is φ = 19649952.

The previous prime is 72610787. The next prime is 72610823. The reversal of 72610818 is 81801627.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 12768 + ... + 17556.

It is an arithmetic number, because the mean of its divisors is an integer number (3649980).

Almost surely, 2^72610818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72610818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87599520).

72610818 is an abundant number, since it is smaller than the sum of its proper divisors (102588222).

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

72610818 is a wasteful number, since it uses less digits than its factorization.

72610818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 72610818 is about 8521.1981551892. The cubic root of 72610818 is about 417.1898910298.

The spelling of 72610818 in words is "seventy-two million, six hundred ten thousand, eight hundred eighteen".