72302706 has 96 divisors (see below), whose sum is σ = 189641088. Its totient is φ = 20217600.

The previous prime is 72302623. The next prime is 72302707. The reversal of 72302706 is 60720327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72302706.

It is not an unprimeable number, because it can be changed into a prime (72302707) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 180106 + ... + 180506.

It is an arithmetic number, because the mean of its divisors is an integer number (1975428).

Almost surely, 2^72302706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72302706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94820544).

72302706 is an abundant number, since it is smaller than the sum of its proper divisors (117338382).

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

72302706 is a wasteful number, since it uses less digits than its factorization.

72302706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72302706 is about 8503.0997877245. The cubic root of 72302706 is about 416.5989622971.

The spelling of 72302706 in words is "seventy-two million, three hundred two thousand, seven hundred six".