72334080 has 576 divisors, whose sum is σ = 329656320. Its totient is φ = 14598144.

The previous prime is 72334063. The next prime is 72334109. The reversal of 72334080 is 8043327.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 3144949 + ... + 3144971.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^72334080 is an apocalyptic number.

72334080 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 72334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

72334080 is an abundant number, since it is smaller than the sum of its proper divisors (257322240).

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

72334080 is a wasteful number, since it uses less digits than its factorization.

72334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72334080 is about 8504.9444442630. The cubic root of 72334080 is about 416.6592112444.

The spelling of 72334080 in words is "seventy-two million, three hundred thirty-four thousand, eighty".