72617680 has 40 divisors (see below), whose sum is σ = 173406312. Its totient is φ = 28260864.

The previous prime is 72617651. The next prime is 72617689. The reversal of 72617680 is 8671627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 69022864 = 1896^2 + 8308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72617689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9307 + ... + 15226.

Almost surely, 2^72617680 is an apocalyptic number.

It is an amenable number.

72617680 is an abundant number, since it is smaller than the sum of its proper divisors (100788632).

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

72617680 is a wasteful number, since it uses less digits than its factorization.

72617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24583 (or 24577 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 72617680 is about 8521.6007885843. The cubic root of 72617680 is about 417.2030326292.

It can be divided in two parts, 7261 and 7680, that added together give a palindrome (14941).

The spelling of 72617680 in words is "seventy-two million, six hundred seventeen thousand, six hundred eighty".