73232640 has 288 divisors, whose sum is σ = 281581440. Its totient is φ = 17915904.

The previous prime is 73232623. The next prime is 73232681. The reversal of 73232640 is 4623237.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×73232640² = 10726039122739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

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, 449199 + ... + 449361.

Almost surely, 2^73232640 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 73232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140790720).

73232640 is an abundant number, since it is smaller than the sum of its proper divisors (208348800).

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

73232640 is a wasteful number, since it uses less digits than its factorization.

73232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 73232640 is about 8557.6071421864. The cubic root of 73232640 is about 418.3774129976.

Adding to 73232640 its reverse (4623237), we get a palindrome (77855877).

The spelling of 73232640 in words is "seventy-three million, two hundred thirty-two thousand, six hundred forty".