73744272 has 120 divisors (see below), whose sum is σ = 237931200. Its totient is φ = 20885760.

The previous prime is 73744271. The next prime is 73744331. The reversal of 73744272 is 27244737.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73744271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149947 + ... + 150437.

It is an arithmetic number, because the mean of its divisors is an integer number (1982760).

Almost surely, 2^73744272 is an apocalyptic number.

73744272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73744272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118965600).

73744272 is an abundant number, since it is smaller than the sum of its proper divisors (164186928).

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

73744272 is a wasteful number, since it uses less digits than its factorization.

73744272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 73744272 is about 8587.4485151295. The cubic root of 73744272 is about 419.3494691144.

The spelling of 73744272 in words is "seventy-three million, seven hundred forty-four thousand, two hundred seventy-two".