437652072 has 160 divisors (see below), whose sum is σ = 1440442080. Its totient is φ = 122394240.

The previous prime is 437652067. The next prime is 437652091. The reversal of 437652072 is 270256734.

It is a happy number.

It is a super-2 number, since 2×437652072² = 383078672251786368, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90303 + ... + 95025.

It is an arithmetic number, because the mean of its divisors is an integer number (9002763).

Almost surely, 2^437652072 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 437652072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720221040).

437652072 is an abundant number, since it is smaller than the sum of its proper divisors (1002790008).

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

437652072 is a wasteful number, since it uses less digits than its factorization.

437652072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4752 counting only the distinct ones).

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

The square root of 437652072 is about 20920.1355636143. The cubic root of 437652072 is about 759.2351909050.

The spelling of 437652072 in words is "four hundred thirty-seven million, six hundred fifty-two thousand, seventy-two".