72661680 has 240 divisors, whose sum is σ = 300605760. Its totient is φ = 15316992.

The previous prime is 72661679. The next prime is 72661697. The reversal of 72661680 is 8616627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64966 + ... + 66074.

It is an arithmetic number, because the mean of its divisors is an integer number (1252524).

Almost surely, 2^72661680 is an apocalyptic number.

72661680 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 72661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

72661680 is an abundant number, since it is smaller than the sum of its proper divisors (227944080).

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

72661680 is a wasteful number, since it uses less digits than its factorization.

72661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72661680 is about 8524.1820721991. The cubic root of 72661680 is about 417.2872785370.

The spelling of 72661680 in words is "seventy-two million, six hundred sixty-one thousand, six hundred eighty".