72466296 has 64 divisors (see below), whose sum is σ = 211296000. Its totient is φ = 20702304.

The previous prime is 72466283. The next prime is 72466301. The reversal of 72466296 is 69266427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831 + ... + 12633.

It is an arithmetic number, because the mean of its divisors is an integer number (3301500).

Almost surely, 2^72466296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72466296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105648000).

72466296 is an abundant number, since it is smaller than the sum of its proper divisors (138829704).

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

72466296 is a wasteful number, since it uses less digits than its factorization.

72466296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833 (or 8815 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 72466296 is about 8512.7137858617. The cubic root of 72466296 is about 416.9129205308.

The spelling of 72466296 in words is "seventy-two million, four hundred sixty-six thousand, two hundred ninety-six".