73950240 has 192 divisors, whose sum is σ = 286868736. Its totient is φ = 15593472.

The previous prime is 73950229. The next prime is 73950257. The reversal of 73950240 is 4205937.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73950198 and 73950207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42834 + ... + 44526.

It is an arithmetic number, because the mean of its divisors is an integer number (1494108).

Almost surely, 2^73950240 is an apocalyptic number.

73950240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143434368).

73950240 is an abundant number, since it is smaller than the sum of its proper divisors (212918496).

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

73950240 is a wasteful number, since it uses less digits than its factorization.

73950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 73950240 is about 8599.4325394179. The cubic root of 73950240 is about 419.7395210271.

The spelling of 73950240 in words is "seventy-three million, nine hundred fifty thousand, two hundred forty".