75957120 has 96 divisors (see below), whose sum is σ = 262309320. Its totient is φ = 20253696.

The previous prime is 75957107. The next prime is 75957127. The reversal of 75957120 is 2175957.

It is a tau number, because it is divible by the number of its divisors (96).

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 (75957127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 12353.

Almost surely, 2^75957120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131154660).

75957120 is an abundant number, since it is smaller than the sum of its proper divisors (186352200).

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

75957120 is a wasteful number, since it uses less digits than its factorization.

75957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13212 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 75957120 is about 8715.3382034205. The cubic root of 75957120 is about 423.5026802301.

The spelling of 75957120 in words is "seventy-five million, nine hundred fifty-seven thousand, one hundred twenty".