72954 has 32 divisors (see below), whose sum is σ = 186240. Its totient is φ = 20736.

The previous prime is 72953. The next prime is 72959. The reversal of 72954 is 45927.

It is a super-2 number, since 2×72954² = 10644572232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (5820).

2⁷²⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93120).

72954 is an abundant number, since it is smaller than the sum of its proper divisors (113286).

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

72954 is a wasteful number, since it uses less digits than its factorization.

72954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72954 is about 270.0999814883. The cubic root of 72954 is about 41.7846115986.

Subtracting from 72954 its sum of digits (27), we obtain a palindrome (72927).

The spelling of 72954 in words is "seventy-two thousand, nine hundred fifty-four".