72422883225 has 243 divisors, whose sum is σ = 166575561789. Its totient is φ = 29968646400.

The previous prime is 72422883191. The next prime is 72422883233. The reversal of 72422883225 is 52238822427.

The square root of 72422883225 is 269115.

It is a perfect power (a square), and thus also a powerful number.

72422883225 is a `hidden beast` number, since 7 + 2 + 42 + 288 + 322 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14262808329 + 58160074896 = 119427^2 + 241164^2 .

It is not a de Polignac number, because 72422883225 - 2¹⁵ = 72422850457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 310827709 + ... + 310827941.

Almost surely, 2^72422883225 is an apocalyptic number.

72422883225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72422883225 is the 269115-th square number.

72422883225 is the 134558-th centered octagonal number.

It is an amenable number.

72422883225 is an abundant number, since it is smaller than the sum of its proper divisors (94152678564).

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

72422883225 is a wasteful number, since it uses less digits than its factorization.

72422883225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 72422883225 in words is "seventy-two billion, four hundred twenty-two million, eight hundred eighty-three thousand, two hundred twenty-five".