73350624 has 48 divisors (see below), whose sum is σ = 194555088. Its totient is φ = 24195072.

The previous prime is 73350623. The next prime is 73350643. The reversal of 73350624 is 42605337.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 73350591 and 73350600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73350623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5374 + ... + 13250.

It is an arithmetic number, because the mean of its divisors is an integer number (4053231).

Almost surely, 2^73350624 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 73350624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97277544).

73350624 is an abundant number, since it is smaller than the sum of its proper divisors (121204464).

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

73350624 is a wasteful number, since it uses less digits than its factorization.

73350624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 73350624 is about 8564.4978837057. The cubic root of 73350624 is about 418.6019729556.

The spelling of 73350624 in words is "seventy-three million, three hundred fifty thousand, six hundred twenty-four".