73641385125 has 384 divisors, whose sum is σ = 176340602880. Its totient is φ = 28641600000.

The previous prime is 73641385123. The next prime is 73641385177. The reversal of 73641385125 is 52158314637.

It is a happy number.

73641385125 is a `hidden beast` number, since 7 + 36 + 413 + 85 + 125 = 666.

It is not a de Polignac number, because 73641385125 - 2¹ = 73641385123 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73641385121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 166233154 + ... + 166233596.

It is an arithmetic number, because the mean of its divisors is an integer number (459220320).

Almost surely, 2^73641385125 is an apocalyptic number.

73641385125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73641385125 is an abundant number, since it is smaller than the sum of its proper divisors (102699217755).

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

73641385125 is a wasteful number, since it uses less digits than its factorization.

73641385125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 73641385125 in words is "seventy-three billion, six hundred forty-one million, three hundred eighty-five thousand, one hundred twenty-five".