73872640 has 36 divisors (see below), whose sum is σ = 176951124. Its totient is φ = 29548544.

The previous prime is 73872613. The next prime is 73872653. The reversal of 73872640 is 4627837.

It can be written as a sum of positive squares in 2 ways, for example, as 24760576 + 49112064 = 4976^2 + 7008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73872640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27577 + ... + 30136.

It is an arithmetic number, because the mean of its divisors is an integer number (4915309).

Almost surely, 2^73872640 is an apocalyptic number.

It is an amenable number.

73872640 is an abundant number, since it is smaller than the sum of its proper divisors (103078484).

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

73872640 is an equidigital number, since it uses as much as digits as its factorization.

73872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57734 (or 57720 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 73872640 is about 8594.9194295235. The cubic root of 73872640 is about 419.5926511563.

The spelling of 73872640 in words is "seventy-three million, eight hundred seventy-two thousand, six hundred forty".