72946224 has 160 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 21669120.

The previous prime is 72946217. The next prime is 72946267. The reversal of 72946224 is 42264927.

72946224 is a `hidden beast` number, since 7 + 29 + 4 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173887 + ... + 174305.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^72946224 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 72946224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

72946224 is an abundant number, since it is smaller than the sum of its proper divisors (160372176).

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

72946224 is a wasteful number, since it uses less digits than its factorization.

72946224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 72946224 is about 8540.8561631724. The cubic root of 72946224 is about 417.8312697045.

The spelling of 72946224 in words is "seventy-two million, nine hundred forty-six thousand, two hundred twenty-four".