72658736 has 40 divisors (see below), whose sum is σ = 150734400. Its totient is φ = 33825600.

The previous prime is 72658721. The next prime is 72658739. The reversal of 72658736 is 63785627.

It is not an unprimeable number, because it can be changed into a prime (72658739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15911 + ... + 19961.

It is an arithmetic number, because the mean of its divisors is an integer number (3768360).

Almost surely, 2^72658736 is an apocalyptic number.

72658736 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 72658736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75367200).

72658736 is an abundant number, since it is smaller than the sum of its proper divisors (78075664).

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

72658736 is a wasteful number, since it uses less digits than its factorization.

72658736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4131 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 72658736 is about 8524.0093852600. The cubic root of 72658736 is about 417.2816427817.

The spelling of 72658736 in words is "seventy-two million, six hundred fifty-eight thousand, seven hundred thirty-six".