73025377920 has 576 divisors, whose sum is σ = 286811015400. Its totient is φ = 17087938560.

The previous prime is 73025377883. The next prime is 73025377921. The reversal of 73025377920 is 2977352037.

It can be written as a sum of positive squares in 4 ways, for example, as 33086154816 + 39939223104 = 181896^2 + 199848^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (73025377921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20210034 + ... + 20213646.

Almost surely, 2^73025377920 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 73025377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143405507700).

73025377920 is an abundant number, since it is smaller than the sum of its proper divisors (213785637480).

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

73025377920 is a wasteful number, since it uses less digits than its factorization.

73025377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 73025377920 in words is "seventy-three billion, twenty-five million, three hundred seventy-seven thousand, nine hundred twenty".