35746272 has 72 divisors (see below), whose sum is σ = 105441336. Its totient is φ = 11912832.

The previous prime is 35746267. The next prime is 35746279. The reversal of 35746272 is 27264753.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35746279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5478 + ... + 10074.

It is an arithmetic number, because the mean of its divisors is an integer number (1464463).

Almost surely, 2^35746272 is an apocalyptic number.

35746272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35746272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52720668).

35746272 is an abundant number, since it is smaller than the sum of its proper divisors (69695064).

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

35746272 is an equidigital number, since it uses as much as digits as its factorization.

35746272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4602 counting only the distinct ones).

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

The square root of 35746272 is about 5978.8186124016. The cubic root of 35746272 is about 329.4151624900.

The spelling of 35746272 in words is "thirty-five million, seven hundred forty-six thousand, two hundred seventy-two".