72450 has 72 divisors (see below), whose sum is σ = 232128. Its totient is φ = 15840.

The previous prime is 72431. The next prime is 72461. The reversal of 72450 is 5427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3139 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2⁷²⁴⁵⁰ is an apocalyptic number.

72450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

72450 is an abundant number, since it is smaller than the sum of its proper divisors (159678).

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

72450 is a wasteful number, since it uses less digits than its factorization.

72450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 72450 is about 269.1653766739. The cubic root of 72450 is about 41.6881666819.

Adding to 72450 its reverse (5427), we get a palindrome (77877).

It can be divided in two parts, 72 and 450, that multiplied together give a square (32400 = 180²).

The spelling of 72450 in words is "seventy-two thousand, four hundred fifty".