72166710 has 96 divisors (see below), whose sum is σ = 219843072. Its totient is φ = 14992320.

The previous prime is 72166673. The next prime is 72166711. The reversal of 72166710 is 1766127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72166711) 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 47 ways as a sum of consecutive naturals, for example, 13939 + ... + 18401.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 2^72166710 is an apocalyptic number.

72166710 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72166710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109921536).

72166710 is an abundant number, since it is smaller than the sum of its proper divisors (147676362).

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

72166710 is a wasteful number, since it uses less digits than its factorization.

72166710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 72166710 is about 8495.0991754070. The cubic root of 72166710 is about 416.3376011643.

The spelling of 72166710 in words is "seventy-two million, one hundred sixty-six thousand, seven hundred ten".