73674640 has 40 divisors (see below), whose sum is σ = 184472568. Its totient is φ = 27202560.

The previous prime is 73674637. The next prime is 73674649. The reversal of 73674640 is 4647637.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 72658576 = 1008^2 + 8524^2 .

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

It is a super-3 number, since 3×73674640³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73674640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73674649) 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, 34381 + ... + 36460.

Almost surely, 2^73674640 is an apocalyptic number.

It is an amenable number.

73674640 is an abundant number, since it is smaller than the sum of its proper divisors (110797928).

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

73674640 is a wasteful number, since it uses less digits than its factorization.

73674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70867 (or 70861 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 73674640 is about 8583.3932683992. The cubic root of 73674640 is about 419.2174392547.

The spelling of 73674640 in words is "seventy-three million, six hundred seventy-four thousand, six hundred forty".