72734736 has 80 divisors (see below), whose sum is σ = 199362240. Its totient is φ = 22786560.

The previous prime is 72734729. The next prime is 72734777. The reversal of 72734736 is 63743727.

It is a junction number, because it is equal to n+sod(n) for n = 72734694 and 72734703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157546 + ... + 158006.

It is an arithmetic number, because the mean of its divisors is an integer number (2492028).

Almost surely, 2^72734736 is an apocalyptic number.

72734736 is a gapful number since it is divisible by the number (76) 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 72734736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99681120).

72734736 is an abundant number, since it is smaller than the sum of its proper divisors (126627504).

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

72734736 is a wasteful number, since it uses less digits than its factorization.

72734736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 72734736 is about 8528.4662161493. The cubic root of 72734736 is about 417.4270822969.

The spelling of 72734736 in words is "seventy-two million, seven hundred thirty-four thousand, seven hundred thirty-six".