73207775025 has 288 divisors, whose sum is σ = 171477596160. Its totient is φ = 30279312000.

The previous prime is 73207775021. The next prime is 73207775027. The reversal of 73207775025 is 52057770237.

It is a happy number.

73207775025 is a `hidden beast` number, since 73 + 2 + 0 + 7 + 77 + 502 + 5 = 666.

It is not a de Polignac number, because 73207775025 - 2² = 73207775021 is a prime.

It is a super-2 number, since 2×73207775025² (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 (73207775021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 113149252 + ... + 113149898.

It is an arithmetic number, because the mean of its divisors is an integer number (595408320).

Almost surely, 2^73207775025 is an apocalyptic number.

73207775025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73207775025 is an abundant number, since it is smaller than the sum of its proper divisors (98269821135).

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

73207775025 is a wasteful number, since it uses less digits than its factorization.

73207775025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 720300, while the sum is 45.

The spelling of 73207775025 in words is "seventy-three billion, two hundred seven million, seven hundred seventy-five thousand, twenty-five".