72328410 has 256 divisors, whose sum is σ = 248832000. Its totient is φ = 14817600.

The previous prime is 72328409. The next prime is 72328427. The reversal of 72328410 is 1482327.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1018675 + ... + 1018745.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 2^72328410 is an apocalyptic number.

72328410 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72328410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

72328410 is an abundant number, since it is smaller than the sum of its proper divisors (176503590).

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

72328410 is a wasteful number, since it uses less digits than its factorization.

72328410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72328410 is about 8504.6111022198. The cubic root of 72328410 is about 416.6483241703.

The spelling of 72328410 in words is "seventy-two million, three hundred twenty-eight thousand, four hundred ten".