73153124352 has 1152 divisors, whose sum is σ = 288480890880. Its totient is φ = 17955717120.

The previous prime is 73153124347. The next prime is 73153124377. The reversal of 73153124352 is 25342135137.

73153124352 is a `hidden beast` number, since 7 + 31 + 531 + 2 + 43 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 881362903 + ... + 881362985.

It is an arithmetic number, because the mean of its divisors is an integer number (250417440).

Almost surely, 2^73153124352 is an apocalyptic number.

73153124352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73153124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144240445440).

73153124352 is an abundant number, since it is smaller than the sum of its proper divisors (215327766528).

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

73153124352 is a wasteful number, since it uses less digits than its factorization.

73153124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

Adding to 73153124352 its reverse (25342135137), we get a palindrome (98495259489).

The spelling of 73153124352 in words is "seventy-three billion, one hundred fifty-three million, one hundred twenty-four thousand, three hundred fifty-two".