4965072 has 60 divisors (see below), whose sum is σ = 14927616. Its totient is φ = 1417920.

The previous prime is 4965049. The next prime is 4965083. The reversal of 4965072 is 2705694.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297 + ... + 3407.

Almost surely, 2^4965072 is an apocalyptic number.

4965072 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 4965072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463808).

4965072 is an abundant number, since it is smaller than the sum of its proper divisors (9962544).

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

4965072 is a wasteful number, since it uses less digits than its factorization.

4965072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 4965072 is about 2228.2441517931. The cubic root of 4965072 is about 170.5984902930.

The spelling of 4965072 in words is "four million, nine hundred sixty-five thousand, seventy-two".