72063432 has 80 divisors (see below), whose sum is σ = 230693760. Its totient is φ = 20588256.

The previous prime is 72063427. The next prime is 72063451. The reversal of 72063432 is 23436027.

72063432 is a `hidden beast` number, since 7 + 20 + 634 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72063396 and 72063405.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3408 + ... + 12479.

It is an arithmetic number, because the mean of its divisors is an integer number (2883672).

Almost surely, 2^72063432 is an apocalyptic number.

72063432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72063432 is an abundant number, since it is smaller than the sum of its proper divisors (158630328).

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

72063432 is a wasteful number, since it uses less digits than its factorization.

72063432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15912 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72063432 is about 8489.0183178033. The cubic root of 72063432 is about 416.1388990071.

Adding to 72063432 its reverse (23436027), we get a palindrome (95499459).

The spelling of 72063432 in words is "seventy-two million, sixty-three thousand, four hundred thirty-two".