75511152 has 60 divisors (see below), whose sum is σ = 213041920. Its totient is φ = 24966144.

The previous prime is 75511141. The next prime is 75511153. The reversal of 75511152 is 25111557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75511153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16224 + ... + 20352.

Almost surely, 2^75511152 is an apocalyptic number.

75511152 is a gapful number since it is divisible by the number (72) 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 75511152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106520960).

75511152 is an abundant number, since it is smaller than the sum of its proper divisors (137530768).

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

75511152 is a wasteful number, since it uses less digits than its factorization.

75511152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4261 counting only the distinct ones).

The product of its digits is 1750, while the sum is 27.

The square root of 75511152 is about 8689.7153002846. The cubic root of 75511152 is about 422.6722139119.

The spelling of 75511152 in words is "seventy-five million, five hundred eleven thousand, one hundred fifty-two".