72226296 has 64 divisors (see below), whose sum is σ = 211200000. Its totient is φ = 22807008.

The previous prime is 72226291. The next prime is 72226309. The reversal of 72226296 is 69262227.

72226296 = 904² + 905² + ... + 984².

72226296 is a `hidden beast` number, since 7 + 2 + 22 + 629 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72226296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72226291) 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 15 ways as a sum of consecutive naturals, for example, 4696 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (3300000).

Almost surely, 2^72226296 is an apocalyptic number.

72226296 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72226296 is an abundant number, since it is smaller than the sum of its proper divisors (138973704).

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

72226296 is a wasteful number, since it uses less digits than its factorization.

72226296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17633 (or 17623 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72226296 is about 8498.6055326742. The cubic root of 72226296 is about 416.4521556808.

The spelling of 72226296 in words is "seventy-two million, two hundred twenty-six thousand, two hundred ninety-six".