72406512 has 60 divisors (see below), whose sum is σ = 205984584. Its totient is φ = 23736960.

The previous prime is 72406489. The next prime is 72406513. The reversal of 72406512 is 21560427.

72406512 is a `hidden beast` number, since 7 + 2 + 4 + 0 + 651 + 2 = 666.

It is a super-2 number, since 2×72406512² = 10485405960012288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406513) 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, 4663 + ... + 12905.

Almost surely, 2^72406512 is an apocalyptic number.

72406512 is a gapful number since it is divisible by the number (72) 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 72406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102992292).

72406512 is an abundant number, since it is smaller than the sum of its proper divisors (133578072).

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

72406512 is a wasteful number, since it uses less digits than its factorization.

72406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72406512 is about 8509.2016076715. The cubic root of 72406512 is about 416.7982392662.

Adding to 72406512 its reverse (21560427), we get a palindrome (93966939).

The spelling of 72406512 in words is "seventy-two million, four hundred six thousand, five hundred twelve".