752072 has 8 divisors (see below), whose sum is σ = 1410150. Its totient is φ = 376032.

The previous prime is 752053. The next prime is 752083. The reversal of 752072 is 270257.

It can be written as a sum of positive squares in only one way, i.e., 749956 + 2116 = 866^2 + 46^2 .

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

It is a super-2 number, since 2×752072² = 1131224586368, which contains 22 as substring.

It is a nialpdrome in base 15.

It is an unprimeable number.

752072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46997 + ... + 47012.

2⁷⁵²⁰⁷² is an apocalyptic number.

It is an amenable number.

752072 is a deficient number, since it is larger than the sum of its proper divisors (658078).

752072 is a wasteful number, since it uses less digits than its factorization.

752072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94015 (or 94011 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 752072 is about 867.2208484579. The cubic root of 752072 is about 90.9396210186.

The spelling of 752072 in words is "seven hundred fifty-two thousand, seventy-two".