72619360 has 120 divisors (see below), whose sum is σ = 194806080. Its totient is φ = 25555200.

The previous prime is 72619331. The next prime is 72619361. The reversal of 72619360 is 6391627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72619361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2342545 + ... + 2342575.

It is an arithmetic number, because the mean of its divisors is an integer number (1623384).

Almost surely, 2^72619360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72619360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97403040).

72619360 is an abundant number, since it is smaller than the sum of its proper divisors (122186720).

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

72619360 is an equidigital number, since it uses as much as digits as its factorization.

72619360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 72619360 is about 8521.6993610430. The cubic root of 72619360 is about 417.2062499159.

Subtracting from 72619360 its sum of digits (34), we obtain a triangular number (72619326 = T₁₂₀₅₁).

The spelling of 72619360 in words is "seventy-two million, six hundred nineteen thousand, three hundred sixty".