36402672 has 80 divisors (see below), whose sum is σ = 98009600. Its totient is φ = 11632896.

The previous prime is 36402659. The next prime is 36402683. The reversal of 36402672 is 27620463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182829 + ... + 183027.

It is an arithmetic number, because the mean of its divisors is an integer number (1225120).

Almost surely, 2^36402672 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 36402672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49004800).

36402672 is an abundant number, since it is smaller than the sum of its proper divisors (61606928).

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

36402672 is a wasteful number, since it uses less digits than its factorization.

36402672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 36402672 is about 6033.4626873794. The cubic root of 36402672 is about 331.4192683250.

The spelling of 36402672 in words is "thirty-six million, four hundred two thousand, six hundred seventy-two".