624972 has 12 divisors (see below), whose sum is σ = 1458296. Its totient is φ = 208320.

The previous prime is 624961. The next prime is 624973. The reversal of 624972 is 279426.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 624972.

It is not an unprimeable number, because it can be changed into a prime (624973) by changing a digit.

624972 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, 26029 + ... + 26052.

2⁶²⁴⁹⁷² is an apocalyptic number.

It is an amenable number.

624972 is an abundant number, since it is smaller than the sum of its proper divisors (833324).

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

624972 is a wasteful number, since it uses less digits than its factorization.

624972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52088 (or 52086 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 624972 is about 790.5517060889. The cubic root of 624972 is about 85.4975205327.

It can be divided in two parts, 624 and 972, that added together give a triangular number (1596 = T₅₆).

The spelling of 624972 in words is "six hundred twenty-four thousand, nine hundred seventy-two".