73261440 has 384 divisors, whose sum is σ = 305510400. Its totient is φ = 15814656.

The previous prime is 73261399. The next prime is 73261471. The reversal of 73261440 is 4416237.

73261440 is a `hidden beast` number, since 7 + 3 + 2 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 927321 + ... + 927399.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^73261440 is an apocalyptic number.

73261440 is a gapful number since it is divisible by the number (70) 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 73261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

73261440 is an abundant number, since it is smaller than the sum of its proper divisors (232248960).

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

73261440 is a wasteful number, since it uses less digits than its factorization.

73261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 73261440 is about 8559.2896901554. The cubic root of 73261440 is about 418.4322505232.

Adding to 73261440 its reverse (4416237), we get a palindrome (77677677).

The spelling of 73261440 in words is "seventy-three million, two hundred sixty-one thousand, four hundred forty".