73151578752 has 512 divisors, whose sum is σ = 240939601920. Its totient is φ = 19211157504.

The previous prime is 73151578711. The next prime is 73151578763. The reversal of 73151578752 is 25787515137.

It is a happy number.

It is a super-3 number, since 3×73151578752³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73151578695 and 73151578704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258486003 + ... + 258486285.

It is an arithmetic number, because the mean of its divisors is an integer number (470585160).

Almost surely, 2^73151578752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73151578752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120469800960).

73151578752 is an abundant number, since it is smaller than the sum of its proper divisors (167788023168).

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

73151578752 is a wasteful number, since it uses less digits than its factorization.

73151578752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 2058000, while the sum is 51.

The spelling of 73151578752 in words is "seventy-three billion, one hundred fifty-one million, five hundred seventy-eight thousand, seven hundred fifty-two".