72912000 has 384 divisors, whose sum is σ = 290234880. Its totient is φ = 16128000.

The previous prime is 72911999. The next prime is 72912029. The reversal of 72912000 is 21927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2351985 + ... + 2352015.

It is an arithmetic number, because the mean of its divisors is an integer number (755820).

Almost surely, 2^72912000 is an apocalyptic number.

72912000 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 72912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117440).

72912000 is an abundant number, since it is smaller than the sum of its proper divisors (217322880).

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

72912000 is a wasteful number, since it uses less digits than its factorization.

72912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 72912000 is about 8538.8523819071. The cubic root of 72912000 is about 417.7659151939.

Adding to 72912000 its reverse (21927), we get a palindrome (72933927).

The spelling of 72912000 in words is "seventy-two million, nine hundred twelve thousand".