72866400 has 144 divisors (see below), whose sum is σ = 240390864. Its totient is φ = 19169280.

The previous prime is 72866371. The next prime is 72866407. The reversal of 72866400 is 466827.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72866407) by changing a digit.

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, 232644 + ... + 232956.

It is an arithmetic number, because the mean of its divisors is an integer number (1669381).

Almost surely, 2^72866400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120195432).

72866400 is an abundant number, since it is smaller than the sum of its proper divisors (167524464).

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

72866400 is a wasteful number, since it uses less digits than its factorization.

72866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 72866400 is about 8536.1818162455. The cubic root of 72866400 is about 417.6788051686.

The spelling of 72866400 in words is "seventy-two million, eight hundred sixty-six thousand, four hundred".