5972736 has 144 divisors (see below), whose sum is σ = 20014848. Its totient is φ = 1536000.

The previous prime is 5972723. The next prime is 5972737. The reversal of 5972736 is 6372795.

It is a junction number, because it is equal to n+sod(n) for n = 5972694 and 5972703.

It is not an unprimeable number, because it can be changed into a prime (5972737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59086 + ... + 59186.

It is an arithmetic number, because the mean of its divisors is an integer number (138992).

Almost surely, 2^5972736 is an apocalyptic number.

5972736 is a gapful number since it is divisible by the number (56) 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 5972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007424).

5972736 is an abundant number, since it is smaller than the sum of its proper divisors (14042112).

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

5972736 is a wasteful number, since it uses less digits than its factorization.

5972736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 5972736 is about 2443.9181655694. The cubic root of 5972736 is about 181.4364081419.

It can be divided in two parts, 597 and 2736, that added together give a palindrome (3333).

The spelling of 5972736 in words is "five million, nine hundred seventy-two thousand, seven hundred thirty-six".