72534462000 has 960 divisors, whose sum is σ = 316046914560. Its totient is φ = 13897728000.

The previous prime is 72534461983. The next prime is 72534462017. The reversal of 72534462000 is 26443527.

It is an interprime number because it is at equal distance from previous prime (72534461983) and next prime (72534462017).

It is a super-2 number, since 2×72534462000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78077536 + ... + 78078464.

It is an arithmetic number, because the mean of its divisors is an integer number (329215536).

Almost surely, 2^72534462000 is an apocalyptic number.

72534462000 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 72534462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158023457280).

72534462000 is an abundant number, since it is smaller than the sum of its proper divisors (243512452560).

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

72534462000 is a wasteful number, since it uses less digits than its factorization.

72534462000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 72534462000 in words is "seventy-two billion, five hundred thirty-four million, four hundred sixty-two thousand".