467637072 has 80 divisors (see below), whose sum is σ = 1383578112. Its totient is φ = 133326720.

The previous prime is 467637067. The next prime is 467637089. The reversal of 467637072 is 270736764.

It is a super-2 number, since 2×467637072² = 437368862217466368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196047 + ... + 198417.

Almost surely, 2^467637072 is an apocalyptic number.

467637072 is a gapful number since it is divisible by the number (42) 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 467637072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691789056).

467637072 is an abundant number, since it is smaller than the sum of its proper divisors (915941040).

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

467637072 is a wasteful number, since it uses less digits than its factorization.

467637072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 467637072 is about 21624.9178495549. The cubic root of 467637072 is about 776.1928613350.

It can be divided in two parts, 46763 and 7072, that added together give a palindrome (53835).

The spelling of 467637072 in words is "four hundred sixty-seven million, six hundred thirty-seven thousand, seventy-two".