72899400 has 192 divisors, whose sum is σ = 273732480. Its totient is φ = 15667200.

The previous prime is 72899389. The next prime is 72899413. The reversal of 72899400 is 499827.

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 47 ways as a sum of consecutive naturals, for example, 70890 + ... + 71910.

It is an arithmetic number, because the mean of its divisors is an integer number (1425690).

Almost surely, 2^72899400 is an apocalyptic number.

72899400 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 72899400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136866240).

72899400 is an abundant number, since it is smaller than the sum of its proper divisors (200833080).

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

72899400 is a wasteful number, since it uses less digits than its factorization.

72899400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 72899400 is about 8538.1145459639. The cubic root of 72899400 is about 417.7418489507.

It can be divided in two parts, 728 and 99400, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 72899400 in words is "seventy-two million, eight hundred ninety-nine thousand, four hundred".