72454144 has 117 divisors (see below), whose sum is σ = 177883947. Its totient is φ = 29417472.

The previous prime is 72454121. The next prime is 72454147. The reversal of 72454144 is 44145427.

The square root of 72454144 is 8512.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (17920) is a multiple of the sum of its prime divisors (28).

It is not an unprimeable number, because it can be changed into a prime (72454147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3813367 + ... + 3813385.

Almost surely, 2^72454144 is an apocalyptic number.

72454144 is the 8512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72454144

72454144 is an abundant number, since it is smaller than the sum of its proper divisors (105429803).

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

72454144 is an equidigital number, since it uses as much as digits as its factorization.

72454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its digits is 17920, while the sum is 31.

The cubic root of 72454144 is about 416.8896149423.

The spelling of 72454144 in words is "seventy-two million, four hundred fifty-four thousand, one hundred forty-four".