35764272 has 60 divisors (see below), whose sum is σ = 100540440. Its totient is φ = 11867904.

The previous prime is 35764231. The next prime is 35764307. The reversal of 35764272 is 27246753.

It is a happy number.

35764272 is a `hidden beast` number, since 3 + 5 + 7 + 642 + 7 + 2 = 666.

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

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, 43804 + ... + 44612.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^35764272 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 35764272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270220).

35764272 is an abundant number, since it is smaller than the sum of its proper divisors (64776168).

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

35764272 is a wasteful number, since it uses less digits than its factorization.

35764272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1121 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 35764272 is about 5980.3237370564. The cubic root of 35764272 is about 329.4704454385.

The spelling of 35764272 in words is "thirty-five million, seven hundred sixty-four thousand, two hundred seventy-two".