73254272 has 128 divisors (see below), whose sum is σ = 189638400. Its totient is φ = 27371520.

The previous prime is 73254263. The next prime is 73254277. The reversal of 73254272 is 27245237.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73254277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221147 + ... + 221477.

It is an arithmetic number, because the mean of its divisors is an integer number (1481550).

Almost surely, 2^73254272 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 73254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94819200).

73254272 is an abundant number, since it is smaller than the sum of its proper divisors (116384128).

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

73254272 is a wasteful number, since it uses less digits than its factorization.

73254272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its digits is 23520, while the sum is 32.

The square root of 73254272 is about 8558.8709535779. The cubic root of 73254272 is about 418.4186034159.

The spelling of 73254272 in words is "seventy-three million, two hundred fifty-four thousand, two hundred seventy-two".