36722400 has 288 divisors, whose sum is σ = 141740928. Its totient is φ = 8140800.

The previous prime is 36722393. The next prime is 36722443. The reversal of 36722400 is 422763.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343147 + ... + 343253.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^36722400 is an apocalyptic number.

36722400 is a gapful number since it is divisible by the number (30) 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 36722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

36722400 is an abundant number, since it is smaller than the sum of its proper divisors (105018528).

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

36722400 is a wasteful number, since it uses less digits than its factorization.

36722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 36722400 is about 6059.9009892902. The cubic root of 36722400 is about 332.3867366309.

The spelling of 36722400 in words is "thirty-six million, seven hundred twenty-two thousand, four hundred".