73580640 has 192 divisors, whose sum is σ = 269982720. Its totient is φ = 16496640.

The previous prime is 73580629. The next prime is 73580653. The reversal of 73580640 is 4608537.

It is a super-2 number, since 2×73580640² = 10828221165619200, which contains 22 as substring.

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, 204781 + ... + 205139.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^73580640 is an apocalyptic number.

73580640 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 73580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

73580640 is an abundant number, since it is smaller than the sum of its proper divisors (196402080).

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

73580640 is a wasteful number, since it uses less digits than its factorization.

73580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 73580640 is about 8577.9158307831. The cubic root of 73580640 is about 419.0390729924.

The spelling of 73580640 in words is "seventy-three million, five hundred eighty thousand, six hundred forty".