73795488 has 96 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 21912576.

The previous prime is 73795471. The next prime is 73795493. The reversal of 73795488 is 88459737.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 73795488.

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, 35173 + ... + 37211.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^73795488 is an apocalyptic number.

73795488 is a gapful number since it is divisible by the number (78) 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 73795488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

73795488 is an abundant number, since it is smaller than the sum of its proper divisors (142118112).

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

73795488 is a wasteful number, since it uses less digits than its factorization.

73795488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2086 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 73795488 is about 8590.4300241606. The cubic root of 73795488 is about 419.4465271940.

The spelling of 73795488 in words is "seventy-three million, seven hundred ninety-five thousand, four hundred eighty-eight".