72222480 has 180 divisors, whose sum is σ = 266923020. Its totient is φ = 17487360.

The previous prime is 72222463. The next prime is 72222497. The reversal of 72222480 is 8422227.

72222480 = T₁₅₉₃ + T₁₅₉₄ + ... + T₁₆₄₇.

It is an interprime number because it is at equal distance from previous prime (72222463) and next prime (72222497).

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 38489616 = 5808^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86706 + ... + 87534.

Almost surely, 2^72222480 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 72222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133461510).

72222480 is an abundant number, since it is smaller than the sum of its proper divisors (194700540).

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

72222480 is a wasteful number, since it uses less digits than its factorization.

72222480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72222480 is about 8498.3810222889. The cubic root of 72222480 is about 416.4448212818. Note that the first 3 decimals are identical.

The spelling of 72222480 in words is "seventy-two million, two hundred twenty-two thousand, four hundred eighty".