72462 has 16 divisors (see below), whose sum is σ = 156240. Its totient is φ = 22272.

The previous prime is 72461. The next prime is 72467. The reversal of 72462 is 26427.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 387 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2⁷²⁴⁶² is an apocalyptic number.

72462 is an abundant number, since it is smaller than the sum of its proper divisors (83778).

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 (78120).

72462 is a wasteful number, since it uses less digits than its factorization.

72462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947.

The product of its digits is 672, while the sum is 21.

The square root of 72462 is about 269.1876668794. The cubic root of 72462 is about 41.6904681789.

Adding to 72462 its reverse (26427), we get a palindrome (98889).

The spelling of 72462 in words is "seventy-two thousand, four hundred sixty-two".