73589472 has 240 divisors, whose sum is σ = 246985200. Its totient is φ = 21288960.

The previous prime is 73589471. The next prime is 73589473. The reversal of 73589472 is 27498537.

It is an interprime number because it is at equal distance from previous prime (73589471) and next prime (73589473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73589471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826804 + ... + 826892.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 2^73589472 is an apocalyptic number.

73589472 is a gapful number since it is divisible by the number (72) 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 73589472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492600).

73589472 is an abundant number, since it is smaller than the sum of its proper divisors (173395728).

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

73589472 is a wasteful number, since it uses less digits than its factorization.

73589472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 73589472 is about 8578.4306257030. The cubic root of 73589472 is about 419.0558382948.

The spelling of 73589472 in words is "seventy-three million, five hundred eighty-nine thousand, four hundred seventy-two".