72947340 has 144 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 17694720.

The previous prime is 72947321. The next prime is 72947359. The reversal of 72947340 is 4374927.

It is an interprime number because it is at equal distance from previous prime (72947321) and next prime (72947359).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72947295 and 72947304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94476 + ... + 95244.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^72947340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72947340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

72947340 is an abundant number, since it is smaller than the sum of its proper divisors (169214580).

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

72947340 is a wasteful number, since it uses less digits than its factorization.

72947340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72947340 is about 8540.9214959511. The cubic root of 72947340 is about 417.8334004856.

The spelling of 72947340 in words is "seventy-two million, nine hundred forty-seven thousand, three hundred forty".