72948608100 has 135 divisors (see below), whose sum is σ = 236549391771. Its totient is φ = 19446480000.

The previous prime is 72948608071. The next prime is 72948608101. The reversal of 72948608100 is 180684927.

The square root of 72948608100 is 270090.

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

72948608100 is a `hidden beast` number, since 7 + 29 + 4 + 8 + 608 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 785456676 + 72163151424 = 28026^2 + 268632^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×72948608100² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72948608101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24306600 + ... + 24309600.

Almost surely, 2^72948608100 is an apocalyptic number.

72948608100 is the 270090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72948608100

72948608100 is an abundant number, since it is smaller than the sum of its proper divisors (163600783671).

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

72948608100 is an equidigital number, since it uses as much as digits as its factorization.

72948608100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6028 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 72948608100 in words is "seventy-two billion, nine hundred forty-eight million, six hundred eight thousand, one hundred".