73950000 has 240 divisors, whose sum is σ = 261545760. Its totient is φ = 17920000.

The previous prime is 73949923. The next prime is 73950007. The reversal of 73950000 is 5937.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73950007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2549986 + ... + 2550014.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 2^73950000 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 73950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130772880).

73950000 is an abundant number, since it is smaller than the sum of its proper divisors (187595760).

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

73950000 is a wasteful number, since it uses less digits than its factorization.

73950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 73950000 is about 8599.4185849975. The cubic root of 73950000 is about 419.7390669489.

Adding to 73950000 its reverse (5937), we get a palindrome (73955937).

The spelling of 73950000 in words is "seventy-three million, nine hundred fifty thousand".