72769200 has 120 divisors (see below), whose sum is σ = 266435328. Its totient is φ = 16631040.

The previous prime is 72769189. The next prime is 72769211. The reversal of 72769200 is 296727.

It is an interprime number because it is at equal distance from previous prime (72769189) and next prime (72769211).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4069 + ... + 12731.

Almost surely, 2^72769200 is an apocalyptic number.

72769200 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 72769200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133217664).

72769200 is an abundant number, since it is smaller than the sum of its proper divisors (193666128).

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

72769200 is a wasteful number, since it uses less digits than its factorization.

72769200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 72769200 is about 8530.4865042974. The cubic root of 72769200 is about 417.4930019026.

The spelling of 72769200 in words is "seventy-two million, seven hundred sixty-nine thousand, two hundred".