73899540 has 360 divisors, whose sum is σ = 283880520. Its totient is φ = 15966720.

The previous prime is 73899533. The next prime is 73899541. The reversal of 73899540 is 4599837.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 72488196 = 1188^2 + 8514^2 .

It is a super-2 number, since 2×73899540² = 10922284024423200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73899541) 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 119 ways as a sum of consecutive naturals, for example, 2548246 + ... + 2548274.

It is an arithmetic number, because the mean of its divisors is an integer number (788557).

Almost surely, 2^73899540 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 73899540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141940260).

73899540 is an abundant number, since it is smaller than the sum of its proper divisors (209980980).

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

73899540 is a wasteful number, since it uses less digits than its factorization.

73899540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 73899540 is about 8596.4841650526. The cubic root of 73899540 is about 419.6435751636.

The spelling of 73899540 in words is "seventy-three million, eight hundred ninety-nine thousand, five hundred forty".