72836400 has 480 divisors, whose sum is σ = 309980160. Its totient is φ = 14192640.

The previous prime is 72836389. The next prime is 72836419. The reversal of 72836400 is 463827.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2511586 + ... + 2511614.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^72836400 is an apocalyptic number.

72836400 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 72836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

72836400 is an abundant number, since it is smaller than the sum of its proper divisors (237143760).

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

72836400 is a wasteful number, since it uses less digits than its factorization.

72836400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72836400 is about 8534.4244094139. The cubic root of 72836400 is about 417.6214761199.

It can be divided in two parts, 728 and 36400, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 72836400 in words is "seventy-two million, eight hundred thirty-six thousand, four hundred".