73953696 has 48 divisors (see below), whose sum is σ = 195580224. Its totient is φ = 24466944.

The previous prime is 73953647. The next prime is 73953697. The reversal of 73953696 is 69635937.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (73953697) 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, 10341 + ... + 15963.

It is an arithmetic number, because the mean of its divisors is an integer number (4074588).

Almost surely, 2^73953696 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 73953696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97790112).

73953696 is an abundant number, since it is smaller than the sum of its proper divisors (121626528).

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

73953696 is a wasteful number, since it uses less digits than its factorization.

73953696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5765 counting only the distinct ones).

The product of its digits is 918540, while the sum is 48.

The square root of 73953696 is about 8599.6334805618. The cubic root of 73953696 is about 419.7460596455.

The spelling of 73953696 in words is "seventy-three million, nine hundred fifty-three thousand, six hundred ninety-six".