3537072 has 180 divisors, whose sum is σ = 12863760. Its totient is φ = 887040.

The previous prime is 3537047. The next prime is 3537073. The reversal of 3537072 is 2707353.

3537072 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3537072 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (3537073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121954 + ... + 121982.

Almost surely, 2^3537072 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 3537072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431880).

3537072 is an abundant number, since it is smaller than the sum of its proper divisors (9326688).

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

3537072 is a wasteful number, since it uses less digits than its factorization.

3537072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 3537072 is about 1880.7105040383. The cubic root of 3537072 is about 152.3636261798.

The spelling of 3537072 in words is "three million, five hundred thirty-seven thousand, seventy-two".