73720000 has 140 divisors (see below), whose sum is σ = 194406520. Its totient is φ = 27648000.

The previous prime is 73719983. The next prime is 73720013. The reversal of 73720000 is 2737.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 73720000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 759952 + ... + 760048.

It is an arithmetic number, because the mean of its divisors is an integer number (1388618).

Almost surely, 2^73720000 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 73720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97203260).

73720000 is an abundant number, since it is smaller than the sum of its proper divisors (120686520).

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

73720000 is an equidigital number, since it uses as much as digits as its factorization.

73720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 73720000 is about 8586.0351734663. The cubic root of 73720000 is about 419.3034561973.

Adding to 73720000 its reverse (2737), we get a palindrome (73722737).

The spelling of 73720000 in words is "seventy-three million, seven hundred twenty thousand".