4761972 has 72 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1440000.

The previous prime is 4761971. The next prime is 4761973. The reversal of 4761972 is 2791674.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4761971) and next prime (4761973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761971) 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, 18847 + ... + 19097.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^4761972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4761972 is an abundant number, since it is smaller than the sum of its proper divisors (8446860).

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

4761972 is a wasteful number, since it uses less digits than its factorization.

4761972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4761972 is about 2182.1943084886. The cubic root of 4761972 is about 168.2398784156.

The spelling of 4761972 in words is "four million, seven hundred sixty-one thousand, nine hundred seventy-two".