78152 has 8 divisors (see below), whose sum is σ = 146550. Its totient is φ = 39072.

The previous prime is 78139. The next prime is 78157. The reversal of 78152 is 25187.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 7396 = 266^2 + 86^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×78152² = 12215470208, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78152.

It is not an unprimeable number, because it can be changed into a prime (78157) by changing a digit.

78152 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 as a sum of consecutive naturals, namely, 4877 + ... + 4892.

78152 is a Friedman number, since it can be written as 28+5^7-1, using all its digits and the basic arithmetic operations.

2⁷⁸¹⁵² is an apocalyptic number.

It is an amenable number.

78152 is a deficient number, since it is larger than the sum of its proper divisors (68398).

78152 is a wasteful number, since it uses less digits than its factorization.

78152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775 (or 9771 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 78152 is about 279.5567920835. The cubic root of 78152 is about 42.7543228304.

The spelling of 78152 in words is "seventy-eight thousand, one hundred fifty-two".