72772000 has 192 divisors, whose sum is σ = 215115264. Its totient is φ = 23654400.

The previous prime is 72771971. The next prime is 72772013. The reversal of 72772000 is 27727.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643944 + ... + 644056.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^72772000 is an apocalyptic number.

72772000 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 72772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

72772000 is an abundant number, since it is smaller than the sum of its proper divisors (142343264).

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

72772000 is a wasteful number, since it uses less digits than its factorization.

72772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 25.

The square root of 72772000 is about 8530.6506199703. The cubic root of 72772000 is about 417.4983565738.

Adding to 72772000 its reverse (27727), we get a palindrome (72799727).

It can be divided in two parts, 727 and 72000, that added together give a palindrome (72727).

The spelling of 72772000 in words is "seventy-two million, seven hundred seventy-two thousand".