76152 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 23904.

The previous prime is 76147. The next prime is 76157. The reversal of 76152 is 25167.

It is an interprime number because it is at equal distance from previous prime (76147) and next prime (76157).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76152.

It is not an unprimeable number, because it can be changed into a prime (76157) by changing a digit.

76152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁷⁶¹⁵² 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 76152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

76152 is an abundant number, since it is smaller than the sum of its proper divisors (125448).

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

76152 is a wasteful number, since it uses less digits than its factorization.

76152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 76152 is about 275.9565183140. The cubic root of 76152 is about 42.3864558615.

The spelling of 76152 in words is "seventy-six thousand, one hundred fifty-two".