72619920 has 180 divisors, whose sum is σ = 259814100. Its totient is φ = 18173952.

The previous prime is 72619891. The next prime is 72619931. The reversal of 72619920 is 2991627.

It can be written as a sum of positive squares in 6 ways, for example, as 8363664 + 64256256 = 2892^2 + 8016^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207906 + ... + 208254.

Almost surely, 2^72619920 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 72619920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129907050).

72619920 is an abundant number, since it is smaller than the sum of its proper divisors (187194180).

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

72619920 is a wasteful number, since it uses less digits than its factorization.

72619920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 72619920 is about 8521.7322182758. The cubic root of 72619920 is about 417.2073223338.

The spelling of 72619920 in words is "seventy-two million, six hundred nineteen thousand, nine hundred twenty".