72387744 has 96 divisors (see below), whose sum is σ = 223280064. Its totient is φ = 20244480.

The previous prime is 72387727. The next prime is 72387761. The reversal of 72387744 is 44778327.

It is an interprime number because it is at equal distance from previous prime (72387727) and next prime (72387761).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 72387696 and 72387705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11092 + ... + 16364.

It is an arithmetic number, because the mean of its divisors is an integer number (2325834).

Almost surely, 2^72387744 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 72387744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111640032).

72387744 is an abundant number, since it is smaller than the sum of its proper divisors (150892320).

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

72387744 is a wasteful number, since it uses less digits than its factorization.

72387744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5302 counting only the distinct ones).

The product of its digits is 263424, while the sum is 42.

The square root of 72387744 is about 8508.0987300336. The cubic root of 72387744 is about 416.7622243411.

The spelling of 72387744 in words is "seventy-two million, three hundred eighty-seven thousand, seven hundred forty-four".