35465472 has 144 divisors (see below), whose sum is σ = 120023680. Its totient is φ = 10119168.

The previous prime is 35465467. The next prime is 35465477. The reversal of 35465472 is 27456453.

It is an interprime number because it is at equal distance from previous prime (35465467) and next prime (35465477).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (35465477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48018 + ... + 48750.

Almost surely, 2^35465472 is an apocalyptic number.

35465472 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 35465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60011840).

35465472 is an abundant number, since it is smaller than the sum of its proper divisors (84558208).

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

35465472 is an equidigital number, since it uses as much as digits as its factorization.

35465472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 745 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 35465472 is about 5955.2894136221. The cubic root of 35465472 is about 328.5503352739.

It can be divided in two parts, 35465 and 472, that added together give a cube (35937 = 33³).

The spelling of 35465472 in words is "thirty-five million, four hundred sixty-five thousand, four hundred seventy-two".