73825488 has 180 divisors, whose sum is σ = 240123520. Its totient is φ = 21098880.

The previous prime is 73825487. The next prime is 73825489. The reversal of 73825488 is 88452837.

It is an interprime number because it is at equal distance from previous prime (73825487) and next prime (73825489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73825487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330945 + ... + 331167.

Almost surely, 2^73825488 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 73825488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120061760).

73825488 is an abundant number, since it is smaller than the sum of its proper divisors (166298032).

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

73825488 is a wasteful number, since it uses less digits than its factorization.

73825488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 73825488 is about 8592.1759758515. The cubic root of 73825488 is about 419.5033585413.

The spelling of 73825488 in words is "seventy-three million, eight hundred twenty-five thousand, four hundred eighty-eight".