4627872 has 36 divisors (see below), whose sum is σ = 13161330. Its totient is φ = 1542528.

The previous prime is 4627871. The next prime is 4627873. The reversal of 4627872 is 2787264.

It is an interprime number because it is at equal distance from previous prime (4627871) and next prime (4627873).

It can be written as a sum of positive squares in only one way, i.e., 4309776 + 318096 = 2076^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4627871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7747 + ... + 8322.

Almost surely, 2^4627872 is an apocalyptic number.

It is an amenable number.

4627872 is an abundant number, since it is smaller than the sum of its proper divisors (8533458).

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

4627872 is a wasteful number, since it uses less digits than its factorization.

4627872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16085 (or 16074 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4627872 is about 2151.2489395698. The cubic root of 4627872 is about 166.6455724414.

The spelling of 4627872 in words is "four million, six hundred twenty-seven thousand, eight hundred seventy-two".