36353772 has 168 divisors, whose sum is σ = 118253856. Its totient is φ = 9517824.

The previous prime is 36353761. The next prime is 36353809. The reversal of 36353772 is 27735363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (79380) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 265288 + ... + 265424.

It is an arithmetic number, because the mean of its divisors is an integer number (703892).

Almost surely, 2^36353772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36353772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59126928).

36353772 is an abundant number, since it is smaller than the sum of its proper divisors (81900084).

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

36353772 is a wasteful number, since it uses less digits than its factorization.

36353772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 36353772 is about 6029.4089262547. The cubic root of 36353772 is about 331.2708024434.

It can be divided in two parts, 363537 and 72, that added together give a square (363609 = 603²).

The spelling of 36353772 in words is "thirty-six million, three hundred fifty-three thousand, seven hundred seventy-two".