73552240 has 40 divisors (see below), whose sum is σ = 172721088. Its totient is φ = 29126400.

The previous prime is 73552201. The next prime is 73552247. The reversal of 73552240 is 4225537.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73552199 and 73552208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73552247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3529 + ... + 12631.

Almost surely, 2^73552240 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 73552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86360544).

73552240 is an abundant number, since it is smaller than the sum of its proper divisors (99168848).

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

73552240 is a wasteful number, since it uses less digits than its factorization.

73552240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 73552240 is about 8576.2602572450. The cubic root of 73552240 is about 418.9851537318.

Adding to 73552240 its reverse (4225537), we get a palindrome (77777777).

It can be divided in two parts, 735 and 52240, that added together give a triangular number (52975 = T₃₂₅).

The spelling of 73552240 in words is "seventy-three million, five hundred fifty-two thousand, two hundred forty".