4746672 has 120 divisors (see below), whose sum is σ = 16132896. Its totient is φ = 1271808.

The previous prime is 4746667. The next prime is 4746673. The reversal of 4746672 is 2766474.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4746673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16998 + ... + 17274.

Almost surely, 2^4746672 is an apocalyptic number.

4746672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4746672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066448).

4746672 is an abundant number, since it is smaller than the sum of its proper divisors (11386224).

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

4746672 is a wasteful number, since it uses less digits than its factorization.

4746672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 4746672 is about 2178.6858424289. The cubic root of 4746672 is about 168.0595027322.

The spelling of 4746672 in words is "four million, seven hundred forty-six thousand, six hundred seventy-two".