73950624 has 192 divisors, whose sum is σ = 243855360. Its totient is φ = 21600000.

The previous prime is 73950623. The next prime is 73950649. The reversal of 73950624 is 42605937.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73950623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294499 + ... + 294749.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^73950624 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 73950624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

73950624 is an abundant number, since it is smaller than the sum of its proper divisors (169904736).

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

73950624 is a wasteful number, since it uses less digits than its factorization.

73950624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 73950624 is about 8599.4548664436. The cubic root of 73950624 is about 419.7402475503.

The spelling of 73950624 in words is "seventy-three million, nine hundred fifty thousand, six hundred twenty-four".