72047360 has 288 divisors, whose sum is σ = 233114112. Its totient is φ = 20643840.

The previous prime is 72047357. The next prime is 72047383. The reversal of 72047360 is 6374027.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675499 + ... + 1675541.

It is an arithmetic number, because the mean of its divisors is an integer number (809424).

Almost surely, 2^72047360 is an apocalyptic number.

72047360 is a gapful number since it is divisible by the number (70) 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 72047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116557056).

72047360 is an abundant number, since it is smaller than the sum of its proper divisors (161066752).

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

72047360 is a wasteful number, since it uses less digits than its factorization.

72047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 72047360 is about 8488.0716302350. The cubic root of 72047360 is about 416.1079601455.

The spelling of 72047360 in words is "seventy-two million, forty-seven thousand, three hundred sixty".