72275504 has 80 divisors (see below), whose sum is σ = 166917888. Its totient is φ = 29673216.

The previous prime is 72275503. The next prime is 72275507. The reversal of 72275504 is 40557227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72275503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443327 + ... + 443489.

Almost surely, 2^72275504 is an apocalyptic number.

72275504 is a gapful number since it is divisible by the number (74) 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 72275504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83458944).

72275504 is an abundant number, since it is smaller than the sum of its proper divisors (94642384).

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

72275504 is a wasteful number, since it uses less digits than its factorization.

72275504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 72275504 is about 8501.5001029230. The cubic root of 72275504 is about 416.5467109266.

The spelling of 72275504 in words is "seventy-two million, two hundred seventy-five thousand, five hundred four".