72333380 has 96 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 23103360.

The previous prime is 72333341. The next prime is 72333403. The reversal of 72333380 is 8333327.

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, 188669 + ... + 189051.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2^72333380 is an apocalyptic number.

72333380 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 72333380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

72333380 is an abundant number, since it is smaller than the sum of its proper divisors (113461180).

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

72333380 is a wasteful number, since it uses less digits than its factorization.

72333380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 72333380 is about 8504.9032916312. The cubic root of 72333380 is about 416.6578671919.

The spelling of 72333380 in words is "seventy-two million, three hundred thirty-three thousand, three hundred eighty".