75053952 has 192 divisors, whose sum is σ = 237619200. Its totient is φ = 23514624.

The previous prime is 75053947. The next prime is 75053969. The reversal of 75053952 is 25935057.

75053952 is a `hidden beast` number, since 75 + 0 + 539 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590913 + ... + 591039.

It is an arithmetic number, because the mean of its divisors is an integer number (1237600).

Almost surely, 2^75053952 is an apocalyptic number.

75053952 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 75053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118809600).

75053952 is an abundant number, since it is smaller than the sum of its proper divisors (162565248).

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

75053952 is a wasteful number, since it uses less digits than its factorization.

75053952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 75053952 is about 8663.3683980309. The cubic root of 75053952 is about 421.8174303665.

The spelling of 75053952 in words is "seventy-five million, fifty-three thousand, nine hundred fifty-two".