752679225 has 81 divisors (see below), whose sum is σ = 1417033839. Its totient is φ = 381895200.

The previous prime is 752679217. The next prime is 752679247. The reversal of 752679225 is 522976257.

The square root of 752679225 is 27435.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 270964521 + 481714704 = 16461^2 + 21948^2 .

It is not a de Polignac number, because 752679225 - 2³ = 752679217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (529200) is a multiple of the sum of its prime divisors (98).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12757246 + ... + 12757304.

Almost surely, 2^752679225 is an apocalyptic number.

752679225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

752679225 is the 27435-th square number.

752679225 is the 13718-th centered octagonal number.

It is an amenable number.

752679225 is a deficient number, since it is larger than the sum of its proper divisors (664354614).

752679225 is a wasteful number, since it uses less digits than its factorization.

752679225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The cubic root of 752679225 is about 909.6408940118.

The spelling of 752679225 in words is "seven hundred fifty-two million, six hundred seventy-nine thousand, two hundred twenty-five".