36742500 has 180 divisors, whose sum is σ = 122810688. Its totient is φ = 9240000.

The previous prime is 36742481. The next prime is 36742501. The reversal of 36742500 is 524763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×36742500² = 2700022612500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36742501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 517465 + ... + 517535.

Almost surely, 2^36742500 is an apocalyptic number.

36742500 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 36742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61405344).

36742500 is an abundant number, since it is smaller than the sum of its proper divisors (86068188).

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

36742500 is a wasteful number, since it uses less digits than its factorization.

36742500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36742500 is about 6061.5592053530. The cubic root of 36742500 is about 332.4473695128.

The spelling of 36742500 in words is "thirty-six million, seven hundred forty-two thousand, five hundred".