75355072 has 42 divisors (see below), whose sum is σ = 161943288. Its totient is φ = 34774272.

The previous prime is 75355057. The next prime is 75355087. The reversal of 75355072 is 27055357.

It is an interprime number because it is at equal distance from previous prime (75355057) and next prime (75355087).

It is a super-2 number, since 2×75355072² = 11356773752250368, 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 5 ways as a sum of consecutive naturals, for example, 7333 + ... + 14299.

Almost surely, 2^75355072 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 75355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80971644).

75355072 is an abundant number, since it is smaller than the sum of its proper divisors (86588216).

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

75355072 is a wasteful number, since it uses less digits than its factorization.

75355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 34.

The square root of 75355072 is about 8680.7299232265. The cubic root of 75355072 is about 422.3807947727.

The spelling of 75355072 in words is "seventy-five million, three hundred fifty-five thousand, seventy-two".