75564272 has 60 divisors (see below), whose sum is σ = 171413136. Its totient is φ = 32269440.

The previous prime is 75564263. The next prime is 75564283. The reversal of 75564272 is 27246557.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268772 + ... + 269052.

Almost surely, 2^75564272 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 75564272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85706568).

75564272 is an abundant number, since it is smaller than the sum of its proper divisors (95848864).

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

75564272 is an frugal number, since it uses more digits than its factorization.

75564272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its digits is 117600, while the sum is 38.

The square root of 75564272 is about 8692.7712497224. The cubic root of 75564272 is about 422.7713034044.

The spelling of 75564272 in words is "seventy-five million, five hundred sixty-four thousand, two hundred seventy-two".