75745152 has 256 divisors, whose sum is σ = 266342400. Its totient is φ = 20736000.

The previous prime is 75745151. The next prime is 75745157. The reversal of 75745152 is 25154757.

75745152 is a `hidden beast` number, since 75 + 74 + 515 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75745151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749902 + ... + 750002.

It is an arithmetic number, because the mean of its divisors is an integer number (1040400).

Almost surely, 2^75745152 is an apocalyptic number.

75745152 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 75745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133171200).

75745152 is an abundant number, since it is smaller than the sum of its proper divisors (190597248).

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

75745152 is a wasteful number, since it uses less digits than its factorization.

75745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 75745152 is about 8703.1690779853. The cubic root of 75745152 is about 423.1083671853.

The spelling of 75745152 in words is "seventy-five million, seven hundred forty-five thousand, one hundred fifty-two".