75553072 has 40 divisors (see below), whose sum is σ = 169433600. Its totient is φ = 31966272.

The previous prime is 75553039. The next prime is 75553073. The reversal of 75553072 is 27035557.

It is not an unprimeable number, because it can be changed into a prime (75553073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4579 + ... + 13117.

It is an arithmetic number, because the mean of its divisors is an integer number (4235840).

Almost surely, 2^75553072 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 75553072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84716800).

75553072 is an abundant number, since it is smaller than the sum of its proper divisors (93880528).

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

75553072 is a wasteful number, since it uses less digits than its factorization.

75553072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8627 counting only the distinct ones).

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

The square root of 75553072 is about 8692.1270124176. The cubic root of 75553072 is about 422.7504149059.

The spelling of 75553072 in words is "seventy-five million, five hundred fifty-three thousand, seventy-two".