72066960 has 240 divisors, whose sum is σ = 281648640. Its totient is φ = 16174080.

The previous prime is 72066959. The next prime is 72066977. The reversal of 72066960 is 6966027.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398070 + ... + 398250.

It is an arithmetic number, because the mean of its divisors is an integer number (1173536).

Almost surely, 2^72066960 is an apocalyptic number.

72066960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824320).

72066960 is an abundant number, since it is smaller than the sum of its proper divisors (209581680).

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

72066960 is a wasteful number, since it uses less digits than its factorization.

72066960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 72066960 is about 8489.2261131389. The cubic root of 72066960 is about 416.1456898488.

The spelling of 72066960 in words is "seventy-two million, sixty-six thousand, nine hundred sixty".