72496 has 20 divisors (see below), whose sum is σ = 147312. Its totient is φ = 34496.

The previous prime is 72493. The next prime is 72497. The reversal of 72496 is 69427.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (72493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270 + ... + 466.

2⁷²⁴⁹⁶ 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 72496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656).

72496 is an abundant number, since it is smaller than the sum of its proper divisors (74816).

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

72496 is a wasteful number, since it uses less digits than its factorization.

72496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 72496 is about 269.2508124407. The cubic root of 72496 is about 41.6969877077.

It can be divided in two parts, 724 and 96, that added together give a triangular number (820 = T₄₀).

The spelling of 72496 in words is "seventy-two thousand, four hundred ninety-six".