73151285200 has 120 divisors (see below), whose sum is σ = 203604502208. Its totient is φ = 24736803840.

The previous prime is 73151285177. The next prime is 73151285239. The reversal of 73151285200 is 258215137.

It is a super-2 number, since 2×73151285200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25459 + ... + 383341.

Almost surely, 2^73151285200 is an apocalyptic number.

73151285200 is a gapful number since it is divisible by the number (70) 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 73151285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101802251104).

73151285200 is an abundant number, since it is smaller than the sum of its proper divisors (130453217008).

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

73151285200 is a wasteful number, since it uses less digits than its factorization.

73151285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357981 (or 357970 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 73151285200 in words is "seventy-three billion, one hundred fifty-one million, two hundred eighty-five thousand, two hundred".