36472900 has 36 divisors (see below), whose sum is σ = 79408980. Its totient is φ = 14540800.

The previous prime is 36472879. The next prime is 36472921. The reversal of 36472900 is 927463.

It is an interprime number because it is at equal distance from previous prime (36472879) and next prime (36472921).

It can be written as a sum of positive squares in 6 ways, for example, as 304704 + 36168196 = 552^2 + 6014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56580 + ... + 57220.

It is an arithmetic number, because the mean of its divisors is an integer number (2205805).

Almost surely, 2^36472900 is an apocalyptic number.

It is an amenable number.

36472900 is an abundant number, since it is smaller than the sum of its proper divisors (42936080).

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

36472900 is a wasteful number, since it uses less digits than its factorization.

36472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 36472900 is about 6039.2797583818. The cubic root of 36472900 is about 331.6322559969.

The spelling of 36472900 in words is "thirty-six million, four hundred seventy-two thousand, nine hundred".