73649440 has 48 divisors (see below), whose sum is σ = 184238712. Its totient is φ = 27725824.

The previous prime is 73649417. The next prime is 73649441. The reversal of 73649440 is 4494637.

It can be written as a sum of positive squares in 4 ways, for example, as 72386064 + 1263376 = 8508^2 + 1124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73649440.

It is not an unprimeable number, because it can be changed into a prime (73649441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10819 + ... + 16258.

Almost surely, 2^73649440 is an apocalyptic number.

It is an amenable number.

73649440 is an abundant number, since it is smaller than the sum of its proper divisors (110589272).

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

73649440 is a wasteful number, since it uses less digits than its factorization.

73649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27109 (or 27101 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 73649440 is about 8581.9251919368. The cubic root of 73649440 is about 419.1696368079.

It can be divided in two parts, 736 and 49440, that added together give a square (50176 = 224²).

The spelling of 73649440 in words is "seventy-three million, six hundred forty-nine thousand, four hundred forty".