73254000 has 160 divisors (see below), whose sum is σ = 244895040. Its totient is φ = 18816000.

The previous prime is 73253989. The next prime is 73254001. The reversal of 73254000 is 45237.

It is a happy number.

It is a super-2 number, since 2×73254000² = 10732297032000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73254001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173790 + ... + 174210.

It is an arithmetic number, because the mean of its divisors is an integer number (1530594).

Almost surely, 2^73254000 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 73254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122447520).

73254000 is an abundant number, since it is smaller than the sum of its proper divisors (171641040).

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

73254000 is a wasteful number, since it uses less digits than its factorization.

73254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 73254000 is about 8558.8550636169. The cubic root of 73254000 is about 418.4180855394.

Adding to 73254000 its reverse (45237), we get a palindrome (73299237).

It can be divided in two parts, 7325 and 4000, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 73254000 in words is "seventy-three million, two hundred fifty-four thousand".