72114624 has 84 divisors (see below), whose sum is σ = 214405464. Its totient is φ = 24033024.

The previous prime is 72114599. The next prime is 72114631. The reversal of 72114624 is 42641127.

72114624 is a `hidden beast` number, since 7 + 21 + 14 + 624 = 666.

It is a super-2 number, since 2×72114624² = 10401037989322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13234 + ... + 17870.

It is an arithmetic number, because the mean of its divisors is an integer number (2552446).

Almost surely, 2^72114624 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 72114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107202732).

72114624 is an abundant number, since it is smaller than the sum of its proper divisors (142290840).

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

72114624 is an equidigital number, since it uses as much as digits as its factorization.

72114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4642 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 72114624 is about 8492.0329721451. The cubic root of 72114624 is about 416.2374137904.

The spelling of 72114624 in words is "seventy-two million, one hundred fourteen thousand, six hundred twenty-four".