72372744 has 64 divisors (see below), whose sum is σ = 203049600. Its totient is φ = 23882688.

The previous prime is 72372739. The next prime is 72372803. The reversal of 72372744 is 44727327.

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

It is a junction number, because it is equal to n+sod(n) for n = 72372699 and 72372708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20622 + ... + 23874.

It is an arithmetic number, because the mean of its divisors is an integer number (3172650).

Almost surely, 2^72372744 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 72372744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101524800).

72372744 is an abundant number, since it is smaller than the sum of its proper divisors (130676856).

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

72372744 is a wasteful number, since it uses less digits than its factorization.

72372744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3361 counting only the distinct ones).

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

The square root of 72372744 is about 8507.2171713199. The cubic root of 72372744 is about 416.7334355578.

It can be divided in two parts, 72 and 372744, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 72372744 in words is "seventy-two million, three hundred seventy-two thousand, seven hundred forty-four".