35213472 has 72 divisors (see below), whose sum is σ = 114450336. Its totient is φ = 10060416.

The previous prime is 35213471. The next prime is 35213491. The reversal of 35213472 is 27431253.

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

It is a super-2 number, since 2×35213472² = 2479977220589568, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (35213471) 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, 6718 + ... + 10749.

It is an arithmetic number, because the mean of its divisors is an integer number (1589588).

Almost surely, 2^35213472 is an apocalyptic number.

35213472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35213472 is an abundant number, since it is smaller than the sum of its proper divisors (79236864).

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

35213472 is a wasteful number, since it uses less digits than its factorization.

35213472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17490 (or 17479 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 35213472 is about 5934.0940336331. The cubic root of 35213472 is about 327.7703131201.

It can be divided in two parts, 352 and 13472, that added together give a cube (13824 = 24³).

The spelling of 35213472 in words is "thirty-five million, two hundred thirteen thousand, four hundred seventy-two".