73234143713025 has 135 divisors (see below), whose sum is σ = 143184764940921. Its totient is φ = 36998817793920.

The previous prime is 73234143712991. The next prime is 73234143713051. The reversal of 73234143713025 is 52031734143237.

The square root of 73234143713025 is 8557695.

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

73234143713025 is a `hidden beast` number, since 7 + 3 + 23 + 41 + 437 + 130 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22231064690289 + 51003079022736 = 4714983^2 + 7141644^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-73234143713025 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 polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7316824221 + ... + 7316834229.

Almost surely, 2^{73234143713025} is an apocalyptic number.

73234143713025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73234143713025 is the 8557695-th square number.

73234143713025 is the 4278848-th centered octagonal number.

It is an amenable number.

73234143713025 is a deficient number, since it is larger than the sum of its proper divisors (69950621227896).

73234143713025 is an frugal number, since it uses more digits than its factorization.

73234143713025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20078 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 73234143713025 in words is "seventy-three trillion, two hundred thirty-four billion, one hundred forty-three million, seven hundred thirteen thousand, twenty-five".