73540680 has 128 divisors (see below), whose sum is σ = 232657920. Its totient is φ = 18570240.

The previous prime is 73540673. The next prime is 73540681. The reversal of 73540680 is 8604537.

It is a super-2 number, since 2×73540680² = 10816463229724800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73540681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196974 + ... + 197346.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 2^73540680 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 73540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116328960).

73540680 is an abundant number, since it is smaller than the sum of its proper divisors (159117240).

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

73540680 is a wasteful number, since it uses less digits than its factorization.

73540680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

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

The square root of 73540680 is about 8575.5862773340. The cubic root of 73540680 is about 418.9632023399.

The spelling of 73540680 in words is "seventy-three million, five hundred forty thousand, six hundred eighty".