72466611840 has 384 divisors, whose sum is σ = 295214699520. Its totient is φ = 16029204480.

The previous prime is 72466611793. The next prime is 72466611863. The reversal of 72466611840 is 4811666427.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1220932 + ... + 1278908.

It is an arithmetic number, because the mean of its divisors is an integer number (768788280).

Almost surely, 2^72466611840 is an apocalyptic number.

72466611840 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 72466611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147607349760).

72466611840 is an abundant number, since it is smaller than the sum of its proper divisors (222748087680).

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

72466611840 is a wasteful number, since it uses less digits than its factorization.

72466611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58040 (or 58025 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 72466611840 in words is "seventy-two billion, four hundred sixty-six million, six hundred eleven thousand, eight hundred forty".