75992000 has 224 divisors, whose sum is σ = 228234240. Its totient is φ = 24499200.

The previous prime is 75991991. The next prime is 75992011. The reversal of 75992000 is 29957.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 31 ways as a sum of consecutive naturals, for example, 1287971 + ... + 1288029.

Almost surely, 2^75992000 is an apocalyptic number.

75992000 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 75992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

75992000 is an abundant number, since it is smaller than the sum of its proper divisors (152242240).

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

75992000 is a wasteful number, since it uses less digits than its factorization.

75992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 75992000 is about 8717.3390435385. The cubic root of 75992000 is about 423.5674953651.

The spelling of 75992000 in words is "seventy-five million, nine hundred ninety-two thousand".