73695294072 has 256 divisors, whose sum is σ = 218486016000. Its totient is φ = 22950273024.

The previous prime is 73695294007. The next prime is 73695294097. The reversal of 73695294072 is 27049259637.

73695294072 is a `hidden beast` number, since 7 + 3 + 6 + 9 + 529 + 40 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170196768 + ... + 170197200.

It is an arithmetic number, because the mean of its divisors is an integer number (853461000).

Almost surely, 2^73695294072 is an apocalyptic number.

73695294072 is a gapful number since it is divisible by the number (72) 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 73695294072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109243008000).

73695294072 is an abundant number, since it is smaller than the sum of its proper divisors (144790721928).

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

73695294072 is a wasteful number, since it uses less digits than its factorization.

73695294072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 73695294072 in words is "seventy-three billion, six hundred ninety-five million, two hundred ninety-four thousand, seventy-two".