35672500 has 60 divisors (see below), whose sum is σ = 82223680. Its totient is φ = 13500000.

The previous prime is 35672491. The next prime is 35672509. The reversal of 35672500 is 527653.

It is an interprime number because it is at equal distance from previous prime (35672491) and next prime (35672509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35672509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47125 + ... + 47875.

Almost surely, 2^35672500 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 35672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41111840).

35672500 is an abundant number, since it is smaller than the sum of its proper divisors (46551180).

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

35672500 is a wasteful number, since it uses less digits than its factorization.

35672500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 35672500 is about 5972.6459797982. The cubic root of 35672500 is about 329.1883943001.

The spelling of 35672500 in words is "thirty-five million, six hundred seventy-two thousand, five hundred".