72079201404 has 168 divisors, whose sum is σ = 216379828448. Its totient is φ = 20571096960.

The previous prime is 72079201373. The next prime is 72079201417. The reversal of 72079201404 is 40410297027.

It is a super-2 number, since 2×72079201404² (a number of 23 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 28187694 + ... + 28190250.

Almost surely, 2^72079201404 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 72079201404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108189914224).

72079201404 is an abundant number, since it is smaller than the sum of its proper divisors (144300627044).

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

72079201404 is a wasteful number, since it uses less digits than its factorization.

72079201404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72079201404 in words is "seventy-two billion, seventy-nine million, two hundred one thousand, four hundred four".