72012824 has 16 divisors (see below), whose sum is σ = 145410720. Its totient is φ = 33236640.

The previous prime is 72012803. The next prime is 72012827. The reversal of 72012824 is 42821027.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 72012793 and 72012802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72012827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346112 + ... + 346319.

It is an arithmetic number, because the mean of its divisors is an integer number (9088170).

Almost surely, 2^72012824 is an apocalyptic number.

It is an amenable number.

72012824 is an abundant number, since it is smaller than the sum of its proper divisors (73397896).

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

72012824 is a wasteful number, since it uses less digits than its factorization.

72012824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692450 (or 692446 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 72012824 is about 8486.0370020405. The cubic root of 72012824 is about 416.0414622135.

The spelling of 72012824 in words is "seventy-two million, twelve thousand, eight hundred twenty-four".