36735720 has 128 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 8294400.

The previous prime is 36735719. The next prime is 36735739. The reversal of 36735720 is 2753763.

36735720 = T₁₀₁ + T₁₀₂ + ... + T₆₀₄.

It is a Cunningham number, because it is equal to 6061²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84624 + ... + 85056.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 2^36735720 is an apocalyptic number.

36735720 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 36735720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

36735720 is an abundant number, since it is smaller than the sum of its proper divisors (90756120).

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

36735720 is a wasteful number, since it uses less digits than its factorization.

36735720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 36735720 is about 6060.9999175054. Note that the first 4 decimals coincide. The cubic root of 36735720 is about 332.4269196993.

The spelling of 36735720 in words is "thirty-six million, seven hundred thirty-five thousand, seven hundred twenty".