72276960 has 192 divisors, whose sum is σ = 266112000. Its totient is φ = 16482816.

The previous prime is 72276959. The next prime is 72276983. The reversal of 72276960 is 6967227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164421 + ... + 164859.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 2^72276960 is an apocalyptic number.

72276960 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 72276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

72276960 is an abundant number, since it is smaller than the sum of its proper divisors (193835040).

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

72276960 is a wasteful number, since it uses less digits than its factorization.

72276960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 72276960 is about 8501.5857344380. The cubic root of 72276960 is about 416.5495080381.

The spelling of 72276960 in words is "seventy-two million, two hundred seventy-six thousand, nine hundred sixty".