772152 has 16 divisors (see below), whose sum is σ = 1930440. Its totient is φ = 257376.

The previous prime is 772147. The next prime is 772159. The reversal of 772152 is 251277.

It is a super-2 number, since 2×772152² = 1192437422208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 32173 = 772152 / (7 + 7 + 2 + 1 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772159) by changing a digit.

772152 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 3 ways as a sum of consecutive naturals, for example, 16063 + ... + 16110.

2⁷⁷²¹⁵² is an apocalyptic number.

It is an amenable number.

772152 is an abundant number, since it is smaller than the sum of its proper divisors (1158288).

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

772152 is a wasteful number, since it uses less digits than its factorization.

772152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32182 (or 32178 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 772152 is about 878.7217989785. The cubic root of 772152 is about 91.7418725338.

The spelling of 772152 in words is "seven hundred seventy-two thousand, one hundred fifty-two".