72351744 has 84 divisors (see below), whose sum is σ = 201326496. Its totient is φ = 23068672.

The previous prime is 72351733. The next prime is 72351787. The reversal of 72351744 is 44715327.

Its product of digits (23520) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3145717 + ... + 3145739.

It is an arithmetic number, because the mean of its divisors is an integer number (2396744).

Almost surely, 2^72351744 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 72351744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663248).

72351744 is an abundant number, since it is smaller than the sum of its proper divisors (128974752).

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

72351744 is an frugal number, since it uses more digits than its factorization.

72351744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 72351744 is about 8505.9828356281. The cubic root of 72351744 is about 416.6931245777.

The spelling of 72351744 in words is "seventy-two million, three hundred fifty-one thousand, seven hundred forty-four".