73561800576 has 128 divisors (see below), whose sum is σ = 213703839360. Its totient is φ = 22234798080.

The previous prime is 73561800539. The next prime is 73561800581. The reversal of 73561800576 is 67500816537.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×73561800576² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654995 + ... + 1698861.

It is an arithmetic number, because the mean of its divisors is an integer number (1669561245).

Almost surely, 2^73561800576 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 73561800576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106851919680).

73561800576 is an abundant number, since it is smaller than the sum of its proper divisors (140142038784).

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

73561800576 is a wasteful number, since it uses less digits than its factorization.

73561800576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44292 (or 44280 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 73561800576 in words is "seventy-three billion, five hundred sixty-one million, eight hundred thousand, five hundred seventy-six".