752663 has 4 divisors (see below), whose sum is σ = 765480. Its totient is φ = 739848.

The previous prime is 752651. The next prime is 752681. The reversal of 752663 is 366257.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 366257 = 541 ⋅677.

It is a cyclic number.

It is not a de Polignac number, because 752663 - 2¹² = 748567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6320 + ... + 6437.

It is an arithmetic number, because the mean of its divisors is an integer number (191370).

2⁷⁵²⁶⁶³ is an apocalyptic number.

752663 is a deficient number, since it is larger than the sum of its proper divisors (12817).

752663 is a wasteful number, since it uses less digits than its factorization.

752663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12816.

The product of its digits is 7560, while the sum is 29.

The square root of 752663 is about 867.5615251958. The cubic root of 752663 is about 90.9634357792.

The spelling of 752663 in words is "seven hundred fifty-two thousand, six hundred sixty-three".