35424072 has 96 divisors (see below), whose sum is σ = 101088000. Its totient is φ = 11191680.

The previous prime is 35424061. The next prime is 35424083. The reversal of 35424072 is 27042453.

35424072 is a `hidden beast` number, since 354 + 240 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (35424061) and next prime (35424083).

It is a super-3 number, since 3×35424072³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131554 + ... + 131822.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^35424072 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 35424072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544000).

35424072 is an abundant number, since it is smaller than the sum of its proper divisors (65663928).

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

35424072 is a wasteful number, since it uses less digits than its factorization.

35424072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 35424072 is about 5951.8124970466. The cubic root of 35424072 is about 328.4224429960.

The spelling of 35424072 in words is "thirty-five million, four hundred twenty-four thousand, seventy-two".