75152000 has 256 divisors, whose sum is σ = 236770560. Its totient is φ = 23040000.

The previous prime is 75151981. The next prime is 75152023. The reversal of 75152000 is 25157.

It is a super-3 number, since 3×75152000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231970 + ... + 1232030.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 2^75152000 is an apocalyptic number.

75152000 is a gapful number since it is divisible by the number (70) 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 75152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

75152000 is an abundant number, since it is smaller than the sum of its proper divisors (161618560).

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

75152000 is a wasteful number, since it uses less digits than its factorization.

75152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 75152000 is about 8669.0253200691. The cubic root of 75152000 is about 422.0010332177.

Adding to 75152000 its reverse (25157), we get a palindrome (75177157).

The spelling of 75152000 in words is "seventy-five million, one hundred fifty-two thousand".