75074272 has 144 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 28449792.

The previous prime is 75074249. The next prime is 75074287. The reversal of 75074272 is 27247057.

It is a super-2 number, since 2×75074272² = 11272292632659968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591073 + ... + 591199.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^75074272 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 75074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

75074272 is an abundant number, since it is smaller than the sum of its proper divisors (117977888).

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

75074272 is a wasteful number, since it uses less digits than its factorization.

75074272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 34.

The square root of 75074272 is about 8664.5410726708. The cubic root of 75074272 is about 421.8554943483.

The spelling of 75074272 in words is "seventy-five million, seventy-four thousand, two hundred seventy-two".