5972688 has 120 divisors (see below), whose sum is σ = 18376800. Its totient is φ = 1804032.

The previous prime is 5972671. The next prime is 5972689. The reversal of 5972688 is 8862795.

Its product of digits (241920) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972689) 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, 101203 + ... + 101261.

It is an arithmetic number, because the mean of its divisors is an integer number (153140).

Almost surely, 2^5972688 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 5972688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188400).

5972688 is an abundant number, since it is smaller than the sum of its proper divisors (12404112).

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

5972688 is a wasteful number, since it uses less digits than its factorization.

5972688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5972688 is about 2443.9083452536. The cubic root of 5972688 is about 181.4359221016.

It can be divided in two parts, 597 and 2688, that multiplied together give a triangular number (1604736 = T₁₇₉₁).

The spelling of 5972688 in words is "five million, nine hundred seventy-two thousand, six hundred eighty-eight".