73438496 has 72 divisors (see below), whose sum is σ = 158724720. Its totient is φ = 33336576.

The previous prime is 73438493. The next prime is 73438501. The reversal of 73438496 is 69483437.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73438493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1385606 + ... + 1385658.

It is an arithmetic number, because the mean of its divisors is an integer number (2204510).

Almost surely, 2^73438496 is an apocalyptic number.

73438496 is a gapful number since it is divisible by the number (76) 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 73438496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79362360).

73438496 is an abundant number, since it is smaller than the sum of its proper divisors (85286224).

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

73438496 is a wasteful number, since it uses less digits than its factorization.

73438496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 117 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 73438496 is about 8569.6263629169. The cubic root of 73438496 is about 418.7690640760.

The spelling of 73438496 in words is "seventy-three million, four hundred thirty-eight thousand, four hundred ninety-six".