72674514 has 48 divisors (see below), whose sum is σ = 172602144. Its totient is φ = 21916800.

The previous prime is 72674513. The next prime is 72674557. The reversal of 72674514 is 41547627.

72674514 is a `hidden beast` number, since 72 + 6 + 74 + 514 = 666.

It is not an unprimeable number, because it can be changed into a prime (72674513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46957 + ... + 48479.

It is an arithmetic number, because the mean of its divisors is an integer number (3595878).

Almost surely, 2^72674514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72674514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301072).

72674514 is an abundant number, since it is smaller than the sum of its proper divisors (99927630).

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

72674514 is a wasteful number, since it uses less digits than its factorization.

72674514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1780 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72674514 is about 8524.9348384606. The cubic root of 72674514 is about 417.3118451295.

It can be divided in two parts, 7267 and 4514, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 72674514 in words is "seventy-two million, six hundred seventy-four thousand, five hundred fourteen".