94752000 has 432 divisors, whose sum is σ = 397942272. Its totient is φ = 21196800.

The previous prime is 94751989. The next prime is 94752011. The reversal of 94752000 is 25749.

It is an interprime number because it is at equal distance from previous prime (94751989) and next prime (94752011).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015977 + ... + 2016023.

Almost surely, 2^94752000 is an apocalyptic number.

94752000 is a gapful number since it is divisible by the number (90) 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 94752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198971136).

94752000 is an abundant number, since it is smaller than the sum of its proper divisors (303190272).

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

94752000 is a wasteful number, since it uses less digits than its factorization.

94752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 94752000 is about 9734.0638995232. The cubic root of 94752000 is about 455.8928649511.

Adding to 94752000 its reverse (25749), we get a palindrome (94777749).

The spelling of 94752000 in words is "ninety-four million, seven hundred fifty-two thousand".