72274945600 has 567 divisors, whose sum is σ = 216271705251. Its totient is φ = 23743948800.

The previous prime is 72274945583. The next prime is 72274945609. The reversal of 72274945600 is 654947227.

It is a happy number.

The square root of 72274945600 is 268840.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18628974144 + 53645971456 = 136488^2 + 231616^2 .

It is a super-2 number, since 2×72274945600² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72274945609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1537764777 + ... + 1537764823.

Almost surely, 2^72274945600 is an apocalyptic number.

72274945600 is the 268840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72274945600

72274945600 is an abundant number, since it is smaller than the sum of its proper divisors (143996759651).

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

72274945600 is a wasteful number, since it uses less digits than its factorization.

72274945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 72274945600 in words is "seventy-two billion, two hundred seventy-four million, nine hundred forty-five thousand, six hundred".