73725750450 has 576 divisors, whose sum is σ = 243958635648. Its totient is φ = 16348262400.

The previous prime is 73725750437. The next prime is 73725750473. The reversal of 73725750450 is 5405752737.

73725750450 is a `hidden beast` number, since 7 + 3 + 72 + 575 + 0 + 4 + 5 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73725750396 and 73725750405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84065412 + ... + 84066288.

It is an arithmetic number, because the mean of its divisors is an integer number (423539298).

Almost surely, 2^73725750450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73725750450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121979317824).

73725750450 is an abundant number, since it is smaller than the sum of its proper divisors (170232885198).

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

73725750450 is a wasteful number, since it uses less digits than its factorization.

73725750450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 73725750450 in words is "seventy-three billion, seven hundred twenty-five million, seven hundred fifty thousand, four hundred fifty".