72488102400 has 360 divisors, whose sum is σ = 296477479584. Its totient is φ = 16568524800.

The previous prime is 72488102371. The next prime is 72488102413. The reversal of 72488102400 is 420188427.

72488102400 is a `hidden beast` number, since 7 + 248 + 8 + 1 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 761455 + ... + 851345.

Almost surely, 2^72488102400 is an apocalyptic number.

72488102400 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 72488102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148238739792).

72488102400 is an abundant number, since it is smaller than the sum of its proper divisors (223989377184).

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

72488102400 is a wasteful number, since it uses less digits than its factorization.

72488102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89932 (or 89908 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 72488102400 in words is "seventy-two billion, four hundred eighty-eight million, one hundred two thousand, four hundred".