72356480 has 128 divisors (see below), whose sum is σ = 204456960. Its totient is φ = 23961600.

The previous prime is 72356461. The next prime is 72356483. The reversal of 72356480 is 8465327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72356480.

It is not an unprimeable number, because it can be changed into a prime (72356483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138620 + ... + 139140.

It is an arithmetic number, because the mean of its divisors is an integer number (1597320).

Almost surely, 2^72356480 is an apocalyptic number.

72356480 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 72356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102228480).

72356480 is an abundant number, since it is smaller than the sum of its proper divisors (132100480).

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

72356480 is a wasteful number, since it uses less digits than its factorization.

72356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 72356480 is about 8506.2612233578. The cubic root of 72356480 is about 416.7022163446.

The spelling of 72356480 in words is "seventy-two million, three hundred fifty-six thousand, four hundred eighty".