73787920 has 40 divisors (see below), whose sum is σ = 171964440. Its totient is φ = 29445120.

The previous prime is 73787899. The next prime is 73787941. The reversal of 73787920 is 2978737.

It is an interprime number because it is at equal distance from previous prime (73787899) and next prime (73787941).

It can be written as a sum of positive squares in 4 ways, for example, as 5626384 + 68161536 = 2372^2 + 8256^2 .

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 (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 44710 + ... + 46330.

It is an arithmetic number, because the mean of its divisors is an integer number (4299111).

Almost surely, 2^73787920 is an apocalyptic number.

It is an amenable number.

73787920 is an abundant number, since it is smaller than the sum of its proper divisors (98176520).

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

73787920 is a wasteful number, since it uses less digits than its factorization.

73787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The square root of 73787920 is about 8589.9895226944. The cubic root of 73787920 is about 419.4321881066.

The spelling of 73787920 in words is "seventy-three million, seven hundred eighty-seven thousand, nine hundred twenty".