73543680 has 416 divisors, whose sum is σ = 314534400. Its totient is φ = 15925248.

The previous prime is 73543669. The next prime is 73543711. The reversal of 73543680 is 8634537.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870711 + ... + 3870729.

Almost surely, 2^73543680 is an apocalyptic number.

73543680 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 73543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157267200).

73543680 is an abundant number, since it is smaller than the sum of its proper divisors (240990720).

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

73543680 is a wasteful number, since it uses less digits than its factorization.

73543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 73543680 is about 8575.7611907049. The cubic root of 73543680 is about 418.9688992889.

The spelling of 73543680 in words is "seventy-three million, five hundred forty-three thousand, six hundred eighty".