72954144 has 108 divisors (see below), whose sum is σ = 213950646. Its totient is φ = 23579136.

The previous prime is 72954139. The next prime is 72954163. The reversal of 72954144 is 44145927.

It is a happy number.

72954144 is a `hidden beast` number, since 72 + 9 + 541 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59907600 + 13046544 = 7740^2 + 3612^2 .

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 = 72954099 and 72954108.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 532444 + ... + 532580.

Almost surely, 2^72954144 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 72954144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106975323).

72954144 is an abundant number, since it is smaller than the sum of its proper divisors (140996502).

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

72954144 is a wasteful number, since it uses less digits than its factorization.

72954144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 185 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72954144 is about 8541.3198043394. The cubic root of 72954144 is about 417.8463909071.

The spelling of 72954144 in words is "seventy-two million, nine hundred fifty-four thousand, one hundred forty-four".