73253408 has 54 divisors (see below), whose sum is σ = 154940751. Its totient is φ = 34084864.

The previous prime is 73253387. The next prime is 73253419. The reversal of 73253408 is 80435237.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 33965584 + 39287824 = 5828^2 + 6268^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6052.

It is a super-2 number, since 2×73253408² = 10732123567228928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 823028 + ... + 823116.

Almost surely, 2^73253408 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 73253408

73253408 is an abundant number, since it is smaller than the sum of its proper divisors (81687343).

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

73253408 is an equidigital number, since it uses as much as digits as its factorization.

73253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 73253408 is about 8558.8204794820. The cubic root of 73253408 is about 418.4169583919.

Multiplying 73253408 by its sum of digits (32), we get a square (2344109056 = 48416²).

73253408 divided by its sum of digits (32) gives a square (2289169 = 1513²).

The spelling of 73253408 in words is "seventy-three million, two hundred fifty-three thousand, four hundred eight".