72654660 has 144 divisors (see below), whose sum is σ = 241703280. Its totient is φ = 17556480.

The previous prime is 72654619. The next prime is 72654661. The reversal of 72654660 is 6645627.

It can be written as a sum of positive squares in 8 ways, for example, as 10969344 + 61685316 = 3312^2 + 7854^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72654661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142486 + ... + 142994.

It is an arithmetic number, because the mean of its divisors is an integer number (1678495).

Almost surely, 2^72654660 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 72654660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).

72654660 is an abundant number, since it is smaller than the sum of its proper divisors (169048620).

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

72654660 is a wasteful number, since it uses less digits than its factorization.

72654660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 72654660 is about 8523.7702925407. The cubic root of 72654660 is about 417.2738397660.

The spelling of 72654660 in words is "seventy-two million, six hundred fifty-four thousand, six hundred sixty".