72464 has 20 divisors (see below), whose sum is σ = 160704. Its totient is φ = 31008.

The previous prime is 72461. The next prime is 72467. The reversal of 72464 is 46427.

It is an interprime number because it is at equal distance from previous prime (72461) and next prime (72467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 435.

2⁷²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

72464 is an abundant number, since it is smaller than the sum of its proper divisors (88240).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

72464 is a wasteful number, since it uses less digits than its factorization.

72464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 72464 is about 269.1913817343. The cubic root of 72464 is about 41.6908517370.

The spelling of 72464 in words is "seventy-two thousand, four hundred sixty-four".